Question

A customer requires a car service for 80 miles,

How much money will the customer save by taking Sal's Car Rides instead of Ray's Limo? Enter the answer in the box.

Answer 1

$25

Explanation:

Derive an equation to represent the cost of using each ride.

Sal's Car Rides:

Using 2 pairs of values from the table, (0, 40) and (20, 80), find the slope, m (fee per mile).

`m = (y_2 - y_1)/(x_2 - x_1) = (80 - 40)/(20 - 0) = (40)/(20) = 2`

The y-intercept, b, is the one-time fee for fuel. This is the value of the cost ($) when number of miles traveled is 0.

Thus, b = 40.

Substitute m = 2, and b = 40 into
`y = mx + b`.

Equation for the total cost for Sal's Car Rides would be:

`y = 2x + 40`.

Find the total cost to be charged if a customer requires the a car service for 80 miles if he chooses Sal's Car Rides.

Simply substitute x = 80 in
`y = 2x + 40`.

`y = 2(80) + 40 = 200`

The customer would pay $200.

Ray's Limo:

The equation that represents the total cost (y) to be charged for number of miles (x), given that $2.50 is charged per mile plus a one-time fee of $25 for fuel, would be:

`y = 2.5x + 25`.

If a customer uses Ray's Limo services for 80 miles, the cost charged would be:

Substitute x = 80 in
`y = 2.5x + 25`.

Thus:

`y = 2.5(80) + 25 = 225`.

The fee the customer would pay = $225 for using Ray's Limo services.

Therefore, if the customer takes Sal's Car Rides instead of Ray's Limo, he would save, $225 - $200 = $25.

The customer would save $25.