Question

A taxi service charges $3.00 just to get in the cab and $1.00 for each mile traveled.
Use the calculator to help you solve for the cost per mile.
Number of miles (m) Cost in dollars (c) Cost per mile (
m
c
​
)
5 $8.00
8 $11.00
20 $23.00

Answer 1

To calculate the cost per mile for the taxi service, we can use the given number of miles and the total cost. The cost formula based on the problem is:

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

In this equation, \( c \) is the total cost, \( 3 \) is the initial charge, and \( 1 \) is the cost per mile.

The cost per mile can be determined by the formula:

\[ \text{Cost per mile} = \frac{c - 3}{m} \]

Now let's calculate for each of the provided values:

1. **For 5 miles:**
\[
c = 8.00
\]
\[
\text{Cost per mile} = \frac{8.00 - 3}{5} = \frac{5.00}{5} = 1.00
\]

2. **For 8 miles:**
\[
c = 11.00
\]
\[
\text{Cost per mile} = \frac{11.00 - 3}{8} = \frac{8.00}{8} = 1.00
\]

3. **For 20 miles:**
\[
c = 23.00
\]
\[
\text{Cost per mile} = \frac{23.00 - 3}{20} = \frac{20.00}{20} = 1.00
\]

So the cost per mile in each case is \( \$1.00 \).

**Summary:**
- For 5 miles: Cost per mile = $1.00
- For 8 miles: Cost per mile = $1.00
- For 20 miles: Cost per mile = $1.00

Thus, the cost per mile remains consistent at $1.00.