Algebra 2 8-1 Guided Practice: Inverse Variation

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Solve It! You have 20 bags of mulch. You plan to spread the mulch from all the bags to make a rectangular layer that is 3-in. thick.

How many square feet can you cover?
If l and w represent the length and width of the rectangle in feet, what equation relates l and w?
Justify your reasoning.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Identify the common forms representing inverse variation between x and y, with a constant of variation k.

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Problem 1 Got It? Classify each table as representing a direct variation, an inverse variation, or neither. Identify the function model for the direct and inverse variations.
NOTE: Any model that is neither direct variation nor direct variation will not have a function model.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Summarize the process used in Problem 2 to determine a function that models inverse variation.

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Problem 2 Got It? Suppose x and y vary inversely, and x = 8 when y = -7.
Drag the appropriate item from the left to respond to each question on the right.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: Summarize the process used in Problem 3 to model the given inverse variation using a table.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: Define combined variation.

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Take Note: Define joint variation.

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Take Note: Match each equation form on the left with the combined variation it represents on the right.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Problem 5 Got It? How much potential energy would a 41-kg diver have standing on a 10-m diving platform?

Recall the formula for potential energy used in Problem 5, PE=gmh, as well as the gravitational constant, 9.8.

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Problem 5 Got It? An 80-kg diver stands on a 6-m diving platform. At what height should a 40-kg diver stand to have equal potential energy? Do you need to find the potential energy of either diver to solve this? Explain.

Recall the formula for potential energy used in Problem 5, PE=gmh.

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Algebra 2 8-1 Guided Practice: Inverse Variation

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You have 20 bags of mulch. You plan to spread the mulch from all the bags to make a rectangular layer that is 3-in. thick.

How many square feet can you cover?
If l and w represent the length and width of the rectangle in feet, what equation relates l and w?
Justify your reasoning.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Identify the common forms representing inverse variation between x and y, with a constant of variation k.

Problem 1 Got It? Classify each table as representing a direct variation, an inverse variation, or neither. Identify the function model for the direct and inverse variations.
NOTE: Any model that is neither direct variation nor direct variation will not have a function model.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process used in Problem 2 to determine a function that models inverse variation.

Problem 2 Got It? Suppose x and y vary inversely, and x = 8 when y = -7.
Drag the appropriate item from the left to respond to each question on the right.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process used in Problem 3 to model the given inverse variation using a table.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define combined variation.

Take Note: Define joint variation.

Take Note: Match each equation form on the left with the combined variation it represents on the right.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 5 Got It? How much potential energy would a 41-kg diver have standing on a 10-m diving platform?

Recall the formula for potential energy used in Problem 5, PE=gmh, as well as the gravitational constant, 9.8.

Problem 5 Got It? An 80-kg diver stands on a 6-m diving platform. At what height should a 40-kg diver stand to have equal potential energy? Do you need to find the potential energy of either diver to solve this? Explain.

Recall the formula for potential energy used in Problem 5, PE=gmh.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You have 20 bags of mulch. You plan to spread the mulch from all the bags to make a rectangular layer that is 3-in. thick.

How many square feet can you cover?
If l and w represent the length and width of the rectangle in feet, what equation relates l and w?
Justify your reasoning.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Identify the common forms representing inverse variation between x and y, with a constant of variation k.

Problem 1 Got It? Classify each table as representing a direct variation, an inverse variation, or neither. Identify the function model for the direct and inverse variations.
NOTE: Any model that is neither direct variation nor direct variation will not have a function model.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process used in Problem 2 to determine a function that models inverse variation.

Problem 2 Got It? Suppose x and y vary inversely, and x = 8 when y = -7.
Drag the appropriate item from the left to respond to each question on the right.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process used in Problem 3 to model the given inverse variation using a table.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define combined variation.

Take Note: Define joint variation.

Take Note: Match each equation form on the left with the combined variation it represents on the right.

Problem 4 Got It? The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched a in square feet and the depth of the mulch d in feet. If you need 10 bags to mulch 120 ft2 to a depth of 3 in., how many bags do you need to mulch 200 ft2 to a depth of 4 in.?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 5 Got It? How much potential energy would a 41-kg diver have standing on a 10-m diving platform?

Recall the formula for potential energy used in Problem 5, PE=gmh, as well as the gravitational constant, 9.8.

Problem 5 Got It? An 80-kg diver stands on a 6-m diving platform. At what height should a 40-kg diver stand to have equal potential energy? Do you need to find the potential energy of either diver to solve this? Explain.

Recall the formula for potential energy used in Problem 5, PE=gmh.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Problem 4 Got It? The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched a in square feet and the depth of the mulch d in feet. If you need 10 bags to mulch 120 ft2 to a depth of 3 in., how many bags do you need to mulch 200 ft2 to a depth of 4 in.?

Algebra 2 8-1 Guided Practice: Inverse Variation

Algebra 2 8-1 Guided Practice: Inverse Variation

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You have 20 bags of mulch. You plan to spread the mulch from all the bags to make a rectangular layer that is 3-in. thick. How many square feet can you cover? If l and w represent the length and width of the rectangle in feet, what equation relates l and w? Justify your reasoning.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Identify the common forms representing inverse variation between x and y, with a constant of variation k.

Problem 1 Got It? Classify each table as representing a direct variation, an inverse variation, or neither. Identify the function model for the direct and inverse variations. NOTE: Any model that is neither direct variation nor direct variation will not have a function model.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process used in Problem 2 to determine a function that models inverse variation.

Problem 2 Got It? Suppose x and y vary inversely, and x = 8 when y = -7. Drag the appropriate item from the left to respond to each question on the right.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process used in Problem 3 to model the given inverse variation using a table.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define combined variation.

Take Note: Define joint variation.

Take Note: Match each equation form on the left with the combined variation it represents on the right.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 5 Got It? How much potential energy would a 41-kg diver have standing on a 10-m diving platform?Recall the formula for potential energy used in Problem 5, PE=gmh, as well as the gravitational constant, 9.8.

Problem 5 Got It? An 80-kg diver stands on a 6-m diving platform. At what height should a 40-kg diver stand to have equal potential energy? Do you need to find the potential energy of either diver to solve this? Explain.Recall the formula for potential energy used in Problem 5, PE=gmh.

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You have 20 bags of mulch. You plan to spread the mulch from all the bags to make a rectangular layer that is 3-in. thick. How many square feet can you cover? If l and w represent the length and width of the rectangle in feet, what equation relates l and w? Justify your reasoning.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Identify the common forms representing inverse variation between x and y, with a constant of variation k.

Problem 1 Got It? Classify each table as representing a direct variation, an inverse variation, or neither. Identify the function model for the direct and inverse variations. NOTE: Any model that is neither direct variation nor direct variation will not have a function model.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process used in Problem 2 to determine a function that models inverse variation.

Problem 2 Got It? Suppose x and y vary inversely, and x = 8 when y = -7. Drag the appropriate item from the left to respond to each question on the right.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process used in Problem 3 to model the given inverse variation using a table.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define combined variation.

Take Note: Define joint variation.

Take Note: Match each equation form on the left with the combined variation it represents on the right.

Problem 4 Got It? The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched a in square feet and the depth of the mulch d in feet. If you need 10 bags to mulch 120 ft2 to a depth of 3 in., how many bags do you need to mulch 200 ft2 to a depth of 4 in.?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 5 Got It? How much potential energy would a 41-kg diver have standing on a 10-m diving platform?Recall the formula for potential energy used in Problem 5, PE=gmh, as well as the gravitational constant, 9.8.

Problem 5 Got It? An 80-kg diver stands on a 6-m diving platform. At what height should a 40-kg diver stand to have equal potential energy? Do you need to find the potential energy of either diver to solve this? Explain.Recall the formula for potential energy used in Problem 5, PE=gmh.

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Problem 4 Got It? The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched a in square feet and the depth of the mulch d in feet. If you need 10 bags to mulch 120 ft2 to a depth of 3 in., how many bags do you need to mulch 200 ft2 to a depth of 4 in.?

Solve It! You have 20 bags of mulch. You plan to spread the mulch from all the bags to make a rectangular layer that is 3-in. thick.

How many square feet can you cover?
If l and w represent the length and width of the rectangle in feet, what equation relates l and w?
Justify your reasoning.

Problem 1 Got It? Classify each table as representing a direct variation, an inverse variation, or neither. Identify the function model for the direct and inverse variations.
NOTE: Any model that is neither direct variation nor direct variation will not have a function model.

Problem 2 Got It? Suppose x and y vary inversely, and x = 8 when y = -7.
Drag the appropriate item from the left to respond to each question on the right.

Problem 5 Got It? How much potential energy would a 41-kg diver have standing on a 10-m diving platform?

Recall the formula for potential energy used in Problem 5, PE=gmh, as well as the gravitational constant, 9.8.

Problem 5 Got It? An 80-kg diver stands on a 6-m diving platform. At what height should a 40-kg diver stand to have equal potential energy? Do you need to find the potential energy of either diver to solve this? Explain.

Recall the formula for potential energy used in Problem 5, PE=gmh.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! You have 20 bags of mulch. You plan to spread the mulch from all the bags to make a rectangular layer that is 3-in. thick.

How many square feet can you cover?
If l and w represent the length and width of the rectangle in feet, what equation relates l and w?
Justify your reasoning.

Problem 1 Got It? Classify each table as representing a direct variation, an inverse variation, or neither. Identify the function model for the direct and inverse variations.
NOTE: Any model that is neither direct variation nor direct variation will not have a function model.

Problem 2 Got It? Suppose x and y vary inversely, and x = 8 when y = -7.
Drag the appropriate item from the left to respond to each question on the right.

Problem 5 Got It? How much potential energy would a 41-kg diver have standing on a 10-m diving platform?

Recall the formula for potential energy used in Problem 5, PE=gmh, as well as the gravitational constant, 9.8.

Problem 5 Got It? An 80-kg diver stands on a 6-m diving platform. At what height should a 40-kg diver stand to have equal potential energy? Do you need to find the potential energy of either diver to solve this? Explain.

Recall the formula for potential energy used in Problem 5, PE=gmh.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?