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:

`\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=(y_2-y_1)/(x_2-x_1)$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}`

Define the points on the line:

• Let (x₁, y₁) = (4, 41)
• Let (x₂, y₂) = (7, 71.75)

Substitute the defined points into the slope formula:

`\implies \text{Slope}=(71.75-41)/(7-4)=(30.75)/(3)=10.25`

Therefore, the slope is 10.25.

This means that Dante earns $10.25 each hour.