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 cost of each company for a 300-mile trip, we can use the given formulas:
For Top-Notch Car Rental: C = 150 + 0.35m
For Fleetwood Car Rental: C = 200 + 0.10m
Substituting m = 300 into the formulas:
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, Fleetwood Car Rental is less expensive than Top-Notch Car Rental by $255 - $230 = $<<255-230=25>>25.
The less expensive company is 2 by $25.
To determine which car rental company is less expensive for a 300-mile trip, we need to calculate the total cost for each option and compare them.
For Top-Notch Car Rental:
Total cost, C = $150 + ($0.35 * m)
Total cost for a 300-mile trip = $150 + ($0.35 * 300) = $150 + $105 = $255
For Fleetwood Car Rental:
Total cost, C = $200 + ($0.10 * m)
Total cost for a 300-mile trip = $200 + ($0.10 * 300) = $200 + $30 = $230
Comparing the total costs:
Top-Notch Car Rental costs $255 for a 300-mile trip
Fleetwood Car Rental costs $230 for a 300-mile trip
Therefore, the less expensive company is Fleetwood Car Rental by $25.
To determine 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:
Total cost for a 300-mile trip = cost per mile x number of miles + base cost
Cost per mile for Top-Notch Car Rental = $0.35
Number of miles = 300
Base cost = $150
Total cost for Top-Notch Car Rental = $0.35 x 300 + $150
For Fleetwood Car Rental:
Total cost for a 300-mile trip = cost per mile x number of miles + base cost
Cost per mile for Fleetwood Car Rental = $0.10
Number of miles = 300
Base cost = $200
Total cost for Fleetwood Car Rental = $0.10 x 300 + $200
Now we can calculate the total costs for both companies:
Total cost for Top-Notch Car Rental = $0.35 x 300 + $150 = $105 + $150 = $255
Total cost for Fleetwood Car Rental = $0.10 x 300 + $200 = $30 + $200 = $230
Comparing the total costs, we can see that the total cost for Fleetwood Car Rental is less than the total cost for Top-Notch Car Rental for a 300-mile trip. The less expensive company is Fleetwood Car Rental by $255 - $230 = $25.
So, the answer is: The less expensive company is 2 (Fleetwood Car Rental) by $25.