AlgebraVery hardFixed charge from two fares
Algebra practice question
A taxi fare is a linear function of the distance travelled. A 3-kilometre ride costs $11 and a 7-kilometre ride costs $21. What is the fixed charge, in dollars, before any distance is travelled?
Answer: 3.5 or 7/2
The rate is (21 − 11)/(7 − 3) = 2.5 dollars per km, so the fixed charge is 11 − 2.5(3) = 3.5.
Common wrong answers
- If you answered 1
- 1 comes from a rate of 3.33.
- If you answered 6
- 6 subtracts 5 from 11.
- If you answered 2.5
- 2.5 is the rate per kilometre.
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