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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 answer

To compare the costs of the two rental companies for a 300-mile trip, we will calculate the total cost \( C \) for each company.

  1. Top-Notch Car Rental: \[ C = 150 + 0.35m \] For 300 miles: \[ C = 150 + 0.35 \times 300 = 150 + 105 = 255 \]

  2. Fleetwood Car Rental: \[ C = 200 + 0.10m \] For 300 miles: \[ C = 200 + 0.10 \times 300 = 200 + 30 = 230 \]

Now we compare the total costs:

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

Fleetwood Car Rental is less expensive.

To find by how much: \[ 255 - 230 = 25 \]

So, the answer is: 2, for Fleetwood Car Rental, and it is less expensive by $25.