type the correct answer in the box. the table below represents the total cost of leasing a car at the end…

type the correct answer in the box. the table below represents the total cost of leasing a car at the end each month. month cost 1 $1,859 3 $2,577 8 $4,372 12 $5,808 write an equation in slope - intercept form to represent the total cost, y, of leasing a car for x months.

type the correct answer in the box. the table below represents the total cost of leasing a car at the end each month. month cost 1 $1,859 3 $2,577 8 $4,372 12 $5,808 write an equation in slope - intercept form to represent the total cost, y, of leasing a car for x months.

Answer

Explanation:

Step1: Find the slope (m)

The slope - intercept form is $y = mx + b$, where $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points $(x_1,y_1)=(1,1859)$ and $(x_2,y_2)=(3,2577)$. Then $m=\frac{2577 - 1859}{3 - 1}=\frac{718}{2}=359$.

Step2: Find the y - intercept (b)

Substitute $m = 359$, $x = 1$ and $y = 1859$ into $y=mx + b$. So $1859=359\times1 + b$. Solving for $b$, we get $b=1859 - 359=1500$.

Answer:

$y = 359x+1500$