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 $__
First, calculate the total cost for Top-Notch Car Rental for a 300-mile trip:
C = 150 + (0.35 * 300)
C = 150 + 105
C = 255
Next, calculate the total cost for Fleetwood Car Rental for a 300-mile trip:
C = 200 + (0.10 * 300)
C = 200 + 30
C = 230
The total cost for Top-Notch Car Rental is $255 and the total cost for Fleetwood Car Rental is $230. Therefore, the less expensive company is 2 (Fleetwood Car Rental) by $25.
To compare the total cost for a 300-mile trip between Top-Notch Car Rental and Fleetwood Car Rental, we can use the given cost formulas.
For Top-Notch Car Rental:
C = $150 + $0.35m
where m is the number of miles.
For Fleetwood Car Rental:
C = $200 + $0.10m
where m is the number of miles.
Let's calculate the total cost for a 300-mile trip for both companies:
For Top-Notch Car Rental:
C = $150 + $0.35 * 300 = $150 + $105 = $255
For Fleetwood Car Rental:
C = $200 + $0.10 * 300 = $200 + $30 = $230
Therefore, the total cost for a 300-mile trip is $255 for Top-Notch Car Rental and $230 for Fleetwood Car Rental.
The less expensive company is Fleetwood Car Rental by $25. (2 - 1 = 1 point)
Therefore, the less expensive company is 2 (Fleetwood Car Rental) by $25.
To find out which car rental company is less expensive for a 300-mile trip, we need to calculate the total cost for both options.
For Top-Notch Car Rental:
The total cost, C, is $150 plus $0.35 per mile, m.
For a 300-mile trip, the total cost for Top-Notch Car Rental would be:
C = $150 + (300 miles * $0.35 per mile)
= $150 + $105
= $255
For Fleetwood Car Rental:
The total cost, C, is $200 plus $0.10 per mile, m.
For a 300-mile trip, the total cost for Fleetwood Car Rental would be:
C = $200 + (300 miles * $0.10 per mile)
= $200 + $30
= $230
Comparing the total costs, we can see that Top-Notch Car Rental (Option 1) costs $255 for a 300-mile trip, while Fleetwood Car Rental (Option 2) costs $230 for the same distance.
Therefore, the less expensive company is Fleetwood Car Rental (Option 2) by $25.