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Algebra 1 4-5 Guided Practice: Writing a Function Rule

By Matt Richardson
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Last updated about 2 years ago
10 Questions
10
1.
Solve It! You and a friend are swimming 20 laps at the local pool. One lap is across the pool and back. You both swim at the same rate. Your friend started first. The trail of arrows shows how far he has already swum. What equation gives the distance you have swum as a function of the distance your friend has swum? Let y = your distance and x = your friend's distance.
A.SSE.1.a
A.CED.2
10
2.
Solve It! How far have you swum when your friend finishes his 20 laps?
N.Q.2
10
3.
Take Note: Place the 3 steps for modeling real-world functional relationships in chronological order.
  1. Define variables to represent the independent and dependent quantities. For example, let x = the independent quantity and let y = the dependent quantity.
  2. Use the defined variables to write an equation.
  3. Relate the information given in the problem. Ask yourself, "How is one quantity related to another quantity?"
10
4.
Problem 1 Got It?
A.SSE.1.a
N.Q.2
A.CED.2
10
5.
Problem 2 Got It?
A.SSE.1.a
N.Q.2
A.CED.2
5
6.
Problem 2 Got It?
A.SSE.1.a
N.Q.2
10
7.
Problem 3 Got It? Write a function rule for the area A of a triangle whose height h is 4 in. more than twice the length of its base b. Hint: You should only use two variables, A and b.
A.SSE.1.a
A.CED.2
10
8.
Problem 3 Got It? What is the area of the triangle from the previous item when the length of its base is 16 in.?
A.SSE.1.a
N.Q.2
10
9.
Problem 3 Got It? Reasoning: Graph the function rule from Problem 3 that is provided provided below. How do you know the rule is nonlinear?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
A.SSE.1.a
A.CED.2
10
10.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?