Amelia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.60 plus $0.50 per mile. The total fare was $13.60, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.

Question

Answer
Attempt 1 out of 2

Equation:
Answer: mm =

Answer 1

To find the equation that represents the total fare for the taxi ride, we can break it down into the components given in the problem.

1. The pick-up fee is $4.60.
2. The cost per mile is $0.50.
3. The total fare is $13.60.

Let \( m \) represent the number of miles in the taxi ride. The cost associated with the miles would be \( 0.50m \).

The total fare can be expressed as the sum of the pick-up fee and the charge for the miles traveled:

\[ \text{Total Fare} = \text{Pick-up Fee} + \text{Cost per mile} \times m \]

Substituting the values:

\[ 13.60 = 4.60 + 0.50m \]

Now, we can solve for \( m \):

1. Subtract the pick-up fee from both sides:

\[ 13.60 - 4.60 = 0.50m \]

\[ 9.00 = 0.50m \]

2. Divide both sides by 0.50:

\[ m = \frac{9.00}{0.50} \]

\[ m = 18 \]

So, the number of miles in the taxi ride is:

Equation: \[ 13.60 = 4.60 + 0.50m \]

Answer: \[ m = 18 \]