5
algebraA taxi ride costs $5.00 plus $2.00 per mile. If the total fare was $25.00, how many miles was the ride?
A
20
B
15
C
10
D
12.5
Correct Answer: C
Choice Dhoice C is the correct answer. We can model this with the equation , where is the number of miles.
- Set up equation:
- Subtract 5 from both sides:
- Simplify:
- Divide both sides by 2:
- Simplify:
- Verify: ✓
So, the ride was 10 miles long.
Choice Dhoice D is incorrect because this results from adding 5 to 25: , then . You subtract the base fare, not add it.
Choice Dhoice C is incorrect because this is the cost of the miles ($20), not the number of miles.
Choice Dhoice A is incorrect because this results from dividing the total fare by the rate: . This ignores the base fare.