AlgebraHardFare for a longer ride from two fares
Algebra practice question
A taxi fare is a linear function of the distance travelled. A 5-kilometre ride costs 11 dollars, and a 9-kilometre ride costs 17 dollars. What is the fare, in dollars, for a 12-kilometre ride?
Answer: 21.5 or 43/2
The rate is 6/4 = 1.5 dollars per kilometre, so a 12-kilometre ride costs 11 + 1.5 × 7 = 21.5.
Common wrong answers
- If you answered 18
- 18 uses 1.5 per kilometre with no fixed part.
- If you answered 20
- 20 adds 3 to 17 for 3 more kilometres at 1 dollar.
- If you answered 26.4
- 26.4 scales 11 by 12/5.
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