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: Find the slope (m)

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

Step2: Find the y-intercept (b)

Using the slope-intercept form \(y = mx + b\) and the point \((1, 1859)\) with \(m = 359\).
\[1859=359\times1 + b\]
\[b=1859 - 359=1500\]

Step3: Write the equation

Now that we have \(m = 359\) and \(b = 1500\), the slope - intercept form is \(y=mx + b\).
\[y = 359x+1500\]

Answer:

\(y = 359x + 1500\)