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 $
.
Remaining Attempts : 3

1 answer

To determine which rental car company is less expensive for a 300-mile trip, we need to calculate the total cost for each company based on their pricing structures.

Top-Notch Car Rental:

  • Fixed cost: $150
  • Cost per mile: $0.35
  • Total cost for 300 miles: \[ C_{Top-Notch} = 150 + (0.35 \times 300) = 150 + 105 = 255 \]

Fleetwood Car Rental:

  • Fixed cost: $200
  • Cost per mile: $0.10
  • Total cost for 300 miles: \[ C_{Fleetwood} = 200 + (0.10 \times 300) = 200 + 30 = 230 \]

Comparison:

  • Total cost for Top-Notch: $255
  • Total cost for Fleetwood: $230

Fleetwood Car Rental is less expensive.

Cost difference:

\[ \text{Difference} = 255 - 230 = 25 \]

Conclusion:

The less expensive company is 2 (Fleetwood Car Rental) by $25.