Question

a taxi service charges 1.50 plus 0.60 per mile for a trip to the airport. the total charge is 13.50, how many miles is it to the air port

Answer 1

Let's denote the number of miles to the airport as \( x \).

The total charge for the taxi service can be expressed with the formula:
\[
\text{Total charge} = \text{Base fare} + (\text{Charge per mile} \times \text{Number of miles})
\]
Given the base fare is $1.50, the charge per mile is $0.60, and the total charge is $13.50, we can set up the equation:
\[
13.50 = 1.50 + 0.60x
\]

Now, let's solve for \( x \):

1. Subtract the base fare from both sides:
\[
13.50 - 1.50 = 0.60x
\]
\[
12.00 = 0.60x
\]

2. Divide by 0.60:
\[
x = \frac{12.00}{0.60}
\]
\[
x = 20
\]

So, the distance to the airport is **20 miles**.