AlgebraEasy–MediumComparing two linear costs at one input
Algebra practice question
One taxi company charges $4 plus $2 per kilometre; another charges $7 plus $1.50 per kilometre. For a 10-kilometre trip, how many dollars cheaper is the second company?
Answer: 2
First: 4 + 2(10) = 24. Second: 7 + 1.5(10) = 22. The difference is 2.
Common wrong answers
- If you answered 3
- 3 is the difference in the fixed charges alone.
- If you answered 5
- 5 is the difference in the per-kilometre charges over 10 km (0.5 × 10), ignoring the fixed charges.
- If you answered 22
- 22 is the second company's fare.
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