Question

A taxi service charges $3.00 just to get in the cab and $1.00 for each mile traveled.
Start by finding the cost per mile when you travel 5 miles.
Number of miles (m) Cost in dollars (c) Cost per mile (
m
c

)
5 $8.00
8 $11.00
20 $23.00

Answers

GPT-4o mini
To calculate the cost and the cost per mile for the taxi service, we can use the formula:

\[
c = 3 + m \times 1
\]

where
- \( c \) is the total cost in dollars,
- \( m \) is the number of miles traveled,
- \( 3 \) is the initial charge for getting in the cab,
- \( 1 \) is the cost per mile.

### Let's calculate the cost for 5 miles:
\[
c = 3 + 5 \times 1 = 3 + 5 = 8
\]

So, the cost for 5 miles is **$8.00**.

### Now, let's calculate the cost per mile:
The cost per mile is calculated as follows:

\[
\text{Cost per mile} = \frac{c}{m}
\]

For 5 miles:
\[
\text{Cost per mile} = \frac{8}{5} = 1.60
\]

### Now, let's summarize the values we have:

- **For 5 miles:**
- Number of miles (m): 5
- Cost in dollars (c): $8.00
- Cost per mile (c/m): $1.60

### Let's calculate the costs and cost per mile for 8 miles and 20 miles.

### For 8 miles:
\[
c = 3 + 8 \times 1 = 3 + 8 = 11
\]
Cost for 8 miles is **$11.00**.

Cost per mile:
\[
\text{Cost per mile} = \frac{11}{8} = 1.375
\]

### For 20 miles:
\[
c = 3 + 20 \times 1 = 3 + 20 = 23
\]
Cost for 20 miles is **$23.00**.

Cost per mile:
\[
\text{Cost per mile} = \frac{23}{20} = 1.15
\]

### Summary of all calculations:

| Number of miles (m) | Cost in dollars (c) | Cost per mile (c/m) |
|----------------------|----------------------|----------------------|
| 5 | $8.00 | $1.60 |
| 8 | $11.00 | $1.375 |
| 20 | $23.00 | $1.15 |

So, for each distance traveled, the total costs and the costs per mile are provided as above.

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