Question

In one U.S.​ city, the taxi cost is $ 3 plus $ 0.60 per mile. If you are traveling from the​ airport, there is an additional charge of $ 5.00 for tolls. How far can you travel from the airport by taxi for ​$35.00​?
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Part 1
You can travel
  
enter your response here miles.

Answer 1

To determine how far you can travel by taxi for $35.00, we first need to consider all the costs involved in the taxi fare.

1. The base fare is $3.00.
2. There is an additional charge of $5.00 for tolls when traveling from the airport.
3. The cost per mile is $0.60.

So, the total fare structure can be represented as:

\[
\text{Total Cost} = \text{Base Fare} + \text{Tolls} + (\text{Cost per mile} \times \text{Number of miles})
\]

Plugging in the values we have:

\[
35 = 3 + 5 + (0.60 \times \text{Number of miles})
\]

Now, combine the base fare and tolls:

\[
35 = 8 + (0.60 \times \text{Number of miles})
\]

Next, we will subtract 8 from both sides:

\[
35 - 8 = 0.60 \times \text{Number of miles}
\]
\[
27 = 0.60 \times \text{Number of miles}
\]

Now, divide both sides by 0.60 to find the number of miles:

\[
\text{Number of miles} = \frac{27}{0.60} = 45
\]

So, you can travel **45 miles** from the airport by taxi for $35.00.