Video Check: Select all that apply with regards to the video embedded directly above this item.
5 points
5
Question 2
2.
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.
3 points
3
Question 3
3.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 4
4.
Take Note: Identify the common forms representing inverse variation between x and y, with a constant of variation k.
y=\frac{k}{x}
y=kx
xy=k
k=\frac{y}{x}
x=\frac{k}{y}
Common forms of inverse variation
10 points
10
Question 5
5.
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.
Direct variation
Inverse variation
Neither
3 points
3
Question 6
6.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 7
7.
Take Note: Summarize the process used in Problem 2 to determine a function that models inverse variation.
14 points
14
Question 8
8.
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.
-56
26
-28
What is the function that models the inverse variation?
What does the graph of this function look like?
What is y when x = 2?
3 points
3
Question 9
9.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 10
10.
Take Note: Summarize the process used in Problem 3 to model the given inverse variation using a table.
10 points
10
Question 11
11.
Problem 3 Got It? After a major storm, your math class volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard.
What function models the time needed to clear the debris from an average-sized yard relative to the number of students who do the work?
10 points
10
Question 12
12.
Problem 3 Got It? After a major storm, your math calss volunteers to remove debris from yards. The table shows the time t in minutes that it takes a group of n students to remove the debris from an average-sized yard?
How many students should there be to clear debris from an average-sized yard in at most 25 minutes?
3 points
3
Question 13
13.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 14
14.
Take Note: Define combined variation.
10 points
10
Question 15
15.
Take Note: Define joint variation.
9 points
9
Question 16
16.
Take Note: Match each equation form on the left with the combined variation it represents on the right.
Draggable item
arrow_right_alt
Corresponding Item
c=\frac{kab}{d}
arrow_right_alt
c varies jointly with a and b
c=\frac{ka}{db}
arrow_right_alt
c varies jointly with a and b and inversely with d
c=kab
arrow_right_alt
c varies directly with a and inversely with the product db
10 points
10
Question 17
17.
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.?
3 points
3
Question 18
18.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 19
19.
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.
12 points
12
Question 20
20.
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.
6 m
9 m
10 m
12 m
Yes. You must calculate the potential energy of both divers in order to determine at what height of the second diver their PE will be equivalent.
No. You don't need to calculate the potential energy of either diver in order to determine at what height of the second diver the PE will be equivalent.
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?
10 points
10
Question 21
21.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
