Question

question 1 of 10 (1 point) | question attempt: 1 of unlimited (a) how much does her pay increase for each hour worked? $80 (b) what is the slope of the line?

Explanation:

Step1: Identify two points on the line

Let's take two points $(0, 20)$ and $(1, 100)$ from the graph.

Step2: Calculate the rate of change for part (a)

The pay - increase per hour is the change in pay divided by the change in hours. Using the formula $\frac{y_2 - y_1}{x_2 - x_1}$, with $(x_1,y_1)=(0,20)$ and $(x_2,y_2)=(1,100)$, we have $\frac{100 - 20}{1-0}=\frac{80}{1}=80$.

Step3: Calculate the slope for part (b)

The slope of a line is also given by the formula $\frac{y_2 - y_1}{x_2 - x_1}$. Using the same two points $(0,20)$ and $(1,100)$, the slope $m=\frac{100 - 20}{1 - 0}=80$.

Answer:

(a) $80
(b) $80