Question

A taxi service charges $3.00 just to get in the cab and $1.00 for each mile traveled.
What do you notice about the cost per mile for each of the distances traveled?
Number of miles (m) Cost in dollars (c) Cost per mile (
m
c

)
5 $8.00 1.6
8 $11.00 1.375
20 $23.00 1.15

The cost per mile is not the same for the distances traveled.

The cost per mile is the same.

Answers

GPT-4o mini
To analyze the cost per mile for the distances traveled, let's break down the information given:

**Cost Equation:** The cost \( c \) of traveling \( m \) miles is given by the formula:
\[ c = 3 + 1 \cdot m \]
where \$3.00 is the base fare for getting into the cab and \$1.00 is charged for each mile traveled.

We can calculate the cost per mile for each scenario:

1. **For 5 miles:**
\[
c = 3 + 1 \cdot 5 = 8 \text{ dollars}
\]
Cost per mile:
\[
\text{Cost per mile} = \frac{8}{5} = 1.6 \text{ dollars/mile}
\]

2. **For 8 miles:**
\[
c = 3 + 1 \cdot 8 = 11 \text{ dollars}
\]
Cost per mile:
\[
\text{Cost per mile} = \frac{11}{8} = 1.375 \text{ dollars/mile}
\]

3. **For 20 miles:**
\[
c = 3 + 1 \cdot 20 = 23 \text{ dollars}
\]
Cost per mile:
\[
\text{Cost per mile} = \frac{23}{20} = 1.15 \text{ dollars/mile}
\]

Based on the calculations, we can see the cost per mile for each distance:

- 5 miles: \$1.60/mile
- 8 miles: \$1.375/mile
- 20 miles: \$1.15/mile

From these results, the cost per mile decreases as the distance traveled increases.

### Conclusion:
The correct statement is:
- **The cost per mile is not the same for the distances traveled.**