Question

Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the slope of the line that represents this relationship if time in months is along the x-axis and the number of cars sold is along the y-axis?

Answer 1

Answer:  $4.33\text{ cars per month.}$

Step-by-step explanation:

Given : Ervin sells vintage cars. Every three months, he manages to sell 13 cars.

$m=\dfrac{\text{change in y}}{\text{change in x}}$

If time in months is along the x-axis and the number of cars sold is along the y-axis

Change in months : 3

Change number of cars : 13

The slope of the line that represents this relationship will be :-

$m=\dfrac{\text{Change in cars}}{\text{Change in months}}\\\\=\dfrac{13}{3}=4.33333\approx4.33\text{ cars per month.}$

Hence, the slope of the line = $4.33\text{ cars per month.}$

Answer 2

The slope would be 4.33. He sells 13 cars in 3 months, 13/3=4.33 cars each month. While you can't sell 4.33, remember that this is just the slope. The equation would be apprx y=4.33(x)