Question

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Real-World Systems of Equations Practice
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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**.