Question

The line graph shown below is of the amount of money astudent earns at a part time job, per hour. What is the students wage rate (in terms of dollars per hour)?

Answer 1

1) The two lines are perpendicular. (Correct choice: True)

2) The slope of the linear function is $ 10 per hour. (Correct choice: A)

How to analyze and interpret linear functions

Herein we must understand and analyze linear functions to find all required information from two exercises. The first exercise asks us to prove if the two lines seen are perpendicular and the second exercise asks us to calculate and interpret the slope of the linear function. Now we proceed to resolve each point:

Exercise 1

If the two lines are perpendicular, then the product of the two slopes must be equal to - 1. The value of slope can be found by secant line formula:

m · m' = - 1

[(1 - 2) / [0 - (-1)]] · [[-1 - (- 2)] / (1 - 0)]

(- 1 / 1) · (1 / 1)

- 1

The two lines are perpendicular. (Correct choice: True)

Exercise 2

In this part we must determine the rate of change of wage in time, in monetary units per time, which can be found by again by the secant line formula:

m = ($ 10 - $ 0) / (1 h - 0 h)

m = $ 10 per hour

The slope of the linear function is $ 10 per hour. (Correct choice: A)

To learn more on linear functions: brainly.com/question/21107621

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