Question

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

month	1	3	8	12

write an equation in slope - intercept form to represent the total cost, y, of leasing a car for x months.

Explanation:

Step1: Calculate the slope (m)

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
Use $(x_1,y_1)=(1,1859)$ and $(x_2,y_2)=(3,2577)$:
$m=\frac{2577-1859}{3-1}=\frac{718}{2}=359$

Step2: Find y-intercept (b)

Use $y=mx+b$, substitute $x=1,y=1859,m=359$:
$1859=359(1)+b$
Solve for b: $b=1859-359=1500$

Step3: Write slope-intercept equation

Substitute $m=359$ and $b=1500$ into $y=mx+b$:
$y=359x+1500$
Verify with other points:
For $x=8$: $y=359(8)+1500=2872+1500=4372$ (matches table)
For $x=12$: $y=359(12)+1500=4308+1500=5808$ (matches table)

Answer:

$y=359x+1500$