Question

This graph shows the amount of money Leo earns from tutoring compared with the number of hours he works. Select the correct statement about the graph.

A. For each hour he works, his earnings go up by $7.

B. For each hour he works, his earnings go up by $14.

C. For every 7 hours he works, his earnings go up by $1.

D. For each dollar he earns, the number of hours he works goes up by 14.​

Answer 1

B. For each hour he works, his earnings go up by $14.

Explanation:

Given

The attached graph

Required

The true statement

The attached graph is a linear graph.

From the graph, we have:

`(x_1,y_1) = (0,0)`

`(x_2,y_2) = (1,14)`

The rate (m) is:

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (14-0)/(1-0)`

`m = (14)/(1)`

`m = 14`

This implies that the hourly rate is $14/hr

Hence (b) is true