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 $
.
To calculate the total cost for Top-Notch Car Rental, we can use the formula C = $150 + $0.35m.
For a 300-mile trip, the total cost for Top-Notch Car Rental would be C = $150 + $0.35(300) = $150 + $105 = $255.
For Fleetwood Car Rental, the total cost is $200 + $0.10m.
For a 300-mile trip, the total cost for Fleetwood Car Rental would be C = $200 + $0.10(300) = $200 + $30 = $230.
Thus, for a 300-mile trip, Top-Notch Car Rental is less expensive than Fleetwood Car Rental by $230 - $255 = -$25.
Therefore, the less expensive company is 1 (Top-Notch Car Rental) by $25.
To find out which company is less expensive for a 300-mile trip, we need to calculate the total cost for each company.
For Top-Notch Car Rental:
C = $150 + ($0.35 * m)
C = $150 + ($0.35 * 300)
C = $150 + $105
C = $255
For Fleetwood Car Rental:
C = $200 + ($0.10 * m)
C = $200 + ($0.10 * 300)
C = $200 + $30
C = $230
Comparing the total costs, we can see that Fleetwood Car Rental is less expensive by $25.
Therefore, the less expensive company is 2 (Fleetwood Car Rental) by $25.
To determine which company is less expensive, we need to calculate the total cost for each company for a 300-mile trip.
For Top-Notch Car Rental:
The total cost, C, is $150 plus $0.35 per mile, m.
Therefore, for a 300-mile trip, the total cost would be:
C = $150 + ($0.35 * 300)
C = $150 + $105
C = $255
For Fleetwood Car Rental:
The total cost, C, is $200 plus $0.10 per mile, m.
Therefore, for a 300-mile trip, the total cost would be:
C = $200 + ($0.10 * 300)
C = $200 + $30
C = $230
Comparing the total costs, we can see that Top-Notch Car Rental has a total cost of $255 for a 300-mile trip, while Fleetwood Car Rental has a total cost of $230.
Therefore, Fleetwood Car Rental is less expensive for a 300-mile trip.
The difference in cost can be calculated by subtracting the cost of Fleetwood Car Rental from the cost of Top-Notch Car Rental:
$255 - $230 = $25
So, Fleetwood Car Rental is less expensive than Top-Notch Car Rental by $25 for a 300-mile trip.
In the answer, we use 1 to represent Top-Notch Car Rental and 2 to represent Fleetwood Car Rental.
Therefore, the less expensive company is 2 (Fleetwood Car Rental) by $25.