Question

Mrs. Gonzalez is going to rent a car for a business trip for one week. The total cost, C
, for Top-Notch Car Rental is $150 plus $0.35 per mile, m
. The total cost, C
, for Fleetwood Car Rental is $200 and $0.10 per mile, m
. Which company is less expensive for a 300-mile trip and by how much? Use 1 for Top-Notch Car Rental and 2 for Fleetwood Car Rental in the answer.(1 point)
The less expensive company is
by $
.

1 answer

To find out which car rental company is less expensive for a 300-mile trip, we need to calculate the total cost \( C \) for each company.

For Top-Notch Car Rental:

The total cost is given by the equation: \[ C = 150 + 0.35m \] For \( m = 300 \) miles: \[ C = 150 + 0.35(300) \] \[ C = 150 + 105 = 255 \]

For Fleetwood Car Rental:

The total cost is given by the equation: \[ C = 200 + 0.10m \] For \( m = 300 \) miles: \[ C = 200 + 0.10(300) \] \[ C = 200 + 30 = 230 \]

Now, we compare the two costs:

  • Top-Notch Car Rental: $255
  • Fleetwood Car Rental: $230

Fleetwood Car Rental is less expensive.

Now, let's find out by how much: \[ 255 - 230 = 25 \]

Therefore, the less expensive company is 2 (Fleetwood Car Rental) by $25.