Question

The graph shows how much money Dante earns for different numbers of hours worked.

What is the slope of the line and what does it mean in this situation?



A. The slope is 10. This means that Dante earns $10 each hour.

B. The slope is 10.25. This means that Dante earns $10.25 each hour.

C. The slope is 10.75. This means that Dante earns $10.75 each hour.

D. The slope is 12. This means that Dante earns $12 each hour.

Answer 1

B. The slope is 10.25. This means that Dante earns $10.25 each hour.

Explanation:

I just took the quiz and this is correct..

Answer 2

The slope of the line passing through the points
`(x_A,y_A)` and
`(x_B,y_B)` can be calculated using the formula

`m=(y_B-y_A)/(x_B-x_A).`

Since the graph of the line passes through the points (4,41) and (7,71.75), the slope of this line is

`m=(71.75-41)/(7-4)=(30.75)/(3)=10.25.`

In this situation this means that Dante earns $10.25 per hour, because you have divided the amount of money that Dante earned during 3 hours by 3 that is the number of hours Dante worked to earn $30.75.

Answer: correct choice is B