Question

question 15
the graphed function shows the profit or loss for pizzawhiz, a company manufacturing pizza stands, makes on its sales in a month.

pizzawhizs profit/loss
in a month

number of pizza
stands sold

what is the slope of the line, and what does it represent?

a the slope is 5. it represents the profit made by the company.

b the slope is 2.5. it represents the profit or loss made on each stand

c the slope is -20. it represents the loss incurred by the company.

d the slope is x. it represents the number of pizza stands sold.

Explanation:

Step1: Identify two points on line

Use points $(0, -20)$ and $(8, 0)$

Step2: Calculate slope via formula

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0-(-20)}{8-0}=\frac{20}{8}=2.5$

Step3: Interpret slope meaning

Slope = $\frac{\text{Profit/Loss}}{\text{Number of Stands}}$, so it is the profit/loss per stand.

Answer:

B. The slope is 2.5; it represents the profit or loss made on each stand