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Question

Real-World Systems of Equations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items

Question
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 $
.

Answer 1

To determine which car rental company is less expensive for a 300-mile trip, we need to calculate the total cost for each company using the provided formulas.

For Top-Notch Car Rental: The total cost \( C \) is calculated as: \[ C = 150 + 0.35m \] Substituting \( m = 300 \): \[ C = 150 + 0.35 \times 300 \] \[ C = 150 + 105 \] \[ C = 255 \]

For Fleetwood Car Rental: The total cost \( C \) is calculated as: \[ C = 200 + 0.10m \] Substituting \( m = 300 \): \[ C = 200 + 0.10 \times 300 \] \[ C = 200 + 30 \] \[ C = 230 \]

Now we compare the total costs:

• Top-Notch Car Rental: $255
• Fleetwood Car Rental: $230

Fleetwood Car Rental is less expensive. To find out how much less expensive it is, we subtract the total cost of Fleetwood from that of Top-Notch: \[ 255 - 230 = 25 \]

Therefore, the less expensive company is 2 (Fleetwood Car Rental) by $25.

Final answer: The less expensive company is 2 by $25.