Question

A car dealership is comparing the sales of two employees. The equation that represents Kevin’s sales is S = 60n-5, where n represents the number of years of employment. Dylan’s sales are displayed in the table below:
Years of Employment (n):
2
6
10
Number of Cars Sold (S)
104
324
544

(n) (S)
2 104
6 324
10 544

Compare the statement below to compare the employees’ rate of change.

greater than, 55, 60, -5, -116, 220, less than, 104, equal to

Kevin’s rate of change is _______. Dylan’s because Kevin sells_______ cars per year employed and Dylan sells ________ cars per year employed.

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

We have  Kevin's sales equation is

$S=60n-5$

Step 1

Find out Dylan's sales equation

Find the slope

We need two points

We take

$(2,104)$ And $(6,324)$

$m=(324-104)/(6-2)$

$m=\frac{220}{4} \\m=55$

Find the equation in slope intercept form

$s=mn+b$

We have

$m=55$

point $(2,104)$

Substitute and solve for b

$104=55(2)+b$

$b=104-110\\b=-6$

So

$S=55n-6$

Therefore

Kevin's rate of change is 60

Dylan's rate of change is 55

Compare

Kevin's rate of change is greater than Dylan's rate of change because Kevin's sell 60 cars per year and Dylan's sells 55 cars per year.

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