Question

A customer requires a car service for 80 miles,

Answer 1

Answer:

$25

Step-by-step 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).

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{80 - 40}{20 - 0} = \frac{40}{20} = 2$

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.