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)

Question

The less expensive company is
by $

Answer 1

To find out which car rental company is less expensive for a 300-mile trip, we will calculate the total cost for both Top-Notch Car Rental and Fleetwood Car Rental.

For Top-Notch Car Rental: \[ C = 150 + 0.35m \] Substituting \(m = 300\): \[ C = 150 + 0.35 \times 300 \] \[ C = 150 + 105 = 255 \]

For Fleetwood Car Rental: \[ C = 200 + 0.10m \] Substituting \(m = 300\): \[ C = 200 + 0.10 \times 300 \] \[ C = 200 + 30 = 230 \]

Now we compare the two costs:

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

Fleetwood Car Rental is less expensive. We calculate the difference: \[ 255 - 230 = 25 \]

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