AlgebraEasyInterpreting a function value
Algebra practice question
A cyclist's distance d, in kilometres, after t hours is given by d(t) = 15t. Which statement best interprets d(2) = 30?
- A. After 2 hours, the cyclist has travelled 30 kilometres.Correct
- B. After 30 hours, the cyclist has travelled 2 kilometres.
- C. The cyclist's speed is 30 kilometres per hour.
- D. The cyclist rode for 15 hours.
Answer: A. After 2 hours, the cyclist has travelled 30 kilometres.
The input is time and the output is distance: 2 hours gives 30 km.
Why the other answers are wrong
- B. After 30 hours, the cyclist has travelled 2 kilometres.
- Input and output are swapped.
- C. The cyclist's speed is 30 kilometres per hour.
- The speed is 15 km/h, the coefficient of t.
- D. The cyclist rode for 15 hours.
- 15 is the speed, not a time.
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