Question

a car rental company charges an initial fee plus a constant fee per kilometer driven this table compares a total distance driven on the trip and quality leaders and the price of rental in dollars what is the company's initial fee ​

Answer 1

$120

Explanation:

The initial fee that was charged is the y-intercept of the equation that represents the situation given.

Using the slope-intercept equation, y = mx + b, find m and then find b, which is the initial fee.

Where, x = distance, y = price, m = slope, and b = y-intercept, which is the initial fee that was charged that we are looking for.

First, using two pairs, (105, 183) and (140, 204), find the slope (m):

`m = (y_2 - y_1)/(x_2 - x_1) = (204 - 183)/(140 - 105) = (21)/(35) = (3)/(5)`

m = ⅗

To find the y-intercept, b, substitute x = 105, y = 183, and m = ⅗ into
`y = mx + b`.

`183 = (3)/(5)(105) + b`

`183 = 63 + b`

Subtract 63 from each side

`183 - 63 = b`

`120 = b`

The initial fee of the company is $120.