Question

MonthCost1$1,8593$2,5778$4,37212$5,808Write an equation in slope-intercept form to represent the total cost, y, of leasing a car for x months.

Answer 1

We choose the points:

(1, 1859) and (8, 4372)

The equation is of the form y = mx + b, where

slope:

`m=(y2-y1)/(x2-x1)=(4372-1859)/(8-1)=(2513)/(7)=359`

intercept:

`\begin{gathered} y=mx+b \\ 1859=359(1)+b \\ 1859-359=359+b-359 \\ b=1500 \end{gathered}`

So, the equation is:

`y=359x+1500`