5
algebra

A 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 2x+5=252x + 5 = 25, where xx is the number of miles.

  1. Set up equation: 2x+5=252x + 5 = 25
  2. Subtract 5 from both sides: 2x=2552x = 25 - 5
  3. Simplify: 2x=202x = 20
  4. Divide both sides by 2: x=202x = \frac{20}{2}
  5. Simplify: x=10x = 10
  6. Verify: 2(10)+5=20+5=252(10) + 5 = 20 + 5 = 25

So, the ride was 10 miles long.

Choice Dhoice D is incorrect because this results from adding 5 to 25: 3030, then 30/2=1530/2 = 15. 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: 25/2=12.525/2 = 12.5. This ignores the base fare.