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 by how much?
To find the cost of each rental company for a 300-mile trip, we first calculate the cost for Top-Notch:
c = $150 + $0.35m
c = $150 + $0.35(300)
c = $150 + $105
c = $255
Therefore, the total cost for a 300-mile trip with Top-Notch is $255.
Next, we calculate the cost for Fleetwood:
c = $200 + $0.10m
c = $200 + $0.10(300)
c = $200 + $30
c = $230
Therefore, the total cost for a 300-mile trip with Fleetwood is $230.
To find out which company is less expensive for a 300-mile trip, we subtract Fleetwood's cost from Top-Notch's cost:
$255 - $230 = $25
Therefore, Top-Notch is $25 more expensive than Fleetwood for a 300-mile trip.