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

Answer:

$120

Step-by-step 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):

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{204 - 183}{140 - 105} = \frac{21}{35} = \frac{3}{5}$

m = ⅗

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

$183 = \frac{3}{5}(105) + b$

$183 = 63 + b$

Subtract 63 from each side

$183 - 63 = b$

$120 = b$

The initial fee of the company is $120.