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 S__
To find the total cost for Top-Notch Car Rental, we can use the formula: C = $150 + ($0.35 * m)
For a 300-mile trip, we substitute m = 300 into the formula:
C1 = $150 + ($0.35 * 300)
C1 = $150 + $105
C1 = $255
To find the total cost for Fleetwood Car Rental, we can use the formula: C = $200 + ($0.10 * m)
For a 300-mile trip, we substitute m = 300 into the formula:
C2 = $200 + ($0.10 * 300)
C2 = $200 + $30
C2 = $230
Comparing the two companies, we see that Top-Notch Car Rental charges $255 for a 300-mile trip, while Fleetwood Car Rental charges $230 for the same distance. Therefore, Fleetwood Car Rental is less expensive by $25.
The less expensive company is 2 (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 and compare them.
Let's start with Top-Notch Car Rental:
The total cost, C, for Top-Notch Car Rental is $150 plus $0.35 per mile, m.
For a 300-mile trip, the cost would be:
C1 = $150 + $0.35 * 300
Next, let's calculate the total cost for Fleetwood Car Rental:
The total cost, C, for Fleetwood Car Rental is $200 and $0.10 per mile, m.
For a 300-mile trip, the cost would be:
C2 = $200 + $0.10 * 300
Now, let's compare the total costs:
If C1 < C2, then Top-Notch Car Rental is less expensive.
If C2 < C1, then Fleetwood Car Rental is less expensive.
So, calculate C1 and C2 to find out which company is less expensive and by how much.
To find out which company is less expensive for a 300-mile trip, we need to calculate the cost for each company and then compare them.
For Top-Notch Car Rental:
Cost = $150 + ($0.35 * 300)
Cost = $150 + $105
Cost = $255
For Fleetwood Car Rental:
Cost = $200 + ($0.10 * 300)
Cost = $200 + $30
Cost = $230
Comparing the costs, we can see that Fleetwood Car Rental is less expensive by $25 ($255 - $230).
Therefore, the less expensive company is 2 (Fleetwood Car Rental) by $25.