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 $O.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 $_.
The total cost for Top-Notch Car Rental is:
C = 150 + 0.35m
Substituting m = 300, we get:
C1 = 150 + 0.35(300)
C1 = 150 + 105
C1 = 255
The total cost for Fleetwood Car Rental is:
C = 200 + 0.10m
Substituting m = 300, we get:
C2 = 200 + 0.10(300)
C2 = 200 + 30
C2 = 230
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 each company.
For Top-Notch Car Rental:
C = $150 + $0.35 * m (where m is the number of miles)
C = $150 + $0.35 * 300
C = $150 + $105
C = $255
For Fleetwood Car Rental:
C = $200 + $0.10 * m (where m is the number of miles)
C = $200 + $0.10 * 300
C = $200 + $30
C = $230
Comparing the total costs, we see that Top-Notch Car Rental costs $255 for a 300-mile trip, while Fleetwood Car Rental costs $230.
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 each company.
For Top-Notch Car Rental:
Total cost, C1 = $150 + $0.35 * 300
For Fleetwood Car Rental:
Total cost, C2 = $200 + $0.10 * 300
Now we can calculate the total costs for both companies:
C1 = $150 + $105 = $255
C2 = $200 + $30 = $230
Comparing the total costs, we can see that Fleetwood Car Rental is less expensive than Top-Notch Car Rental for a 300-mile trip. The cost difference is $255 - $230 = $25.
So, the less expensive company is Fleetwood Car Rental by $25.
Therefore, the answer is:
The less expensive company is 2 (Fleetwood Car Rental) by $25.