Question

1. thomas is a car salesman. the table shows the salary that thomas earns for the number of cars he sells. use the data to find the slope and explain its meaning.

number of cars sold | monthly salary earned
0 | $2200
1 | $2800
2 | $3400
3 | $4000
4 | $4600
a. the slope of the line is 2200. this means that for every car thomas sells, he earns $2,200.
b. the slope of the line is 600. this means that for every car thomas sells, he earns $600.
c. the slope of the line is 2200. this means that thomas earns $2,200 regardless of the number of cars he sells.
d. the slope of the line is 600. this means that thomas earns $600 regardless of the number of cars he sells.

Explanation:

Step1: Recall slope formula

Slope $m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick two points from table

Use $(0, 2200)$ and $(1, 2800)$

Step3: Calculate slope

$m = \frac{2800 - 2200}{1 - 0} = 600$

Step4: Interpret slope

Slope = change in salary per car sold = $600 per car

Answer:

B. The slope of the line is 600. This means that for every car Thomas sells, he earns $600.