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7.4a Classwork (1)

Last updated over 5 years ago

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1 Activity: Writing an Equation in Two Variables

You earn $8 per hour working part-time at a store.

Question 1

1.

a. Complete the table.

Question 2

2.

b. Use the values from the table to complete the graph by filling in the empty boxes. Then use the graph to ask yourself these questions:
· What does the horizontal axis represent? What variable did you use to identify it?
· What does the vertical axis represent? What variable did you use to identify it?
· How are the ordered pairs in the graph related to the values in the table?
· How are the horizontal and vertical distances shown on the graph related to the values in the table?

Question 3

3.

c. How can you write an equation that shows how the two variables are related?

Question 4

4.

d. What does the line in the graph represent?

2 Activity: Describing Variables

Question 5

5.

a. How is the equation from 1c different from the equations earlier in this chapter?

Question 6

6.

b. One of the variables in this equation dependson the other variable. Determine which variable is which by answering the following questions:

Question 7

7.

b. One of the variables in this equation dependson the other variable. Determine which variable is which by answering the following questions:

Question 8

8.

b. One of the variables in this equation depends on the other variable. Determine which variable is which by answering the following questions:

· Does the amount of money you earn depend on the number of hours you work?
· Does the amount of money you earn depend on the number of hours you work?

How do you think you can use these types of variables in real life?

3 activity: Describing a Formula in Two Variables

Recall that the perimeter of a square is 4 times its side length.

Question 9

9.

a. Write the formula for the perimeter of a square. Tell what each variable represents.

Question 10

10.

b. Describe how the perimeter of a square changes as its side length increases by 1 unit. Use a table and a graph to support your answer.

c. In your formula, which variable depends on which?