To determine the distance of the trip, we will set up an equation using the given information.
We know that the taxi charges a base fare of [tex]$5 and an additional $[/tex]1.20 for each mile traveled. The total fare for the trip was $9.80.
Let's denote the distance traveled as [tex]\( d \)[/tex]. According to the information given, the total fare can be written as:
[tex]\[ \text{Total fare} = \text{Base fare} + (\text{Additional per mile} \times \text{Distance}) \][/tex]
Substituting the given values into the equation:
[tex]\[ 9.80 = 5 + 1.20d \][/tex]
To solve for the distance [tex]\( d \)[/tex], follow these steps:
1. Subtract the base fare from both sides of the equation:
[tex]\[ 9.80 - 5 = 1.20d \][/tex]
[tex]\[ 4.80 = 1.20d \][/tex]
2. Divide both sides of the equation by the additional cost per mile:
[tex]\[ d = \frac{4.80}{1.20} \][/tex]
Perform the division:
[tex]\[ d = 4 \][/tex]
Therefore, the distance of the trip was 4 miles.
The best answer is:
A. 4 miles
