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	cost
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.

Explanation:

Step1: Calculate the slope (m)

We use two points, say (1, 1859) and (3, 2577). The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$.
So, $m = \frac{2577 - 1859}{3 - 1} = \frac{718}{2} = 359$.

Step2: Find the y-intercept (b)

Using the slope-intercept form $y = mx + b$ and the point (1, 1859). Substitute $x = 1$, $y = 1859$, and $m = 359$ into the equation:
$1859 = 359(1) + b$.
Solve for b: $b = 1859 - 359 = 1500$.

Step3: Write the equation

Now that we have $m = 359$ and $b = 1500$, the slope-intercept form is $y = 359x + 1500$.

Answer:

$y = 359x + 1500$