AlgebraMediumInterpreting the y-intercept of a decreasing line
Algebra practice question
The function d(t) = 500 − 20t gives the distance, in metres, between a walker and a gate t seconds after the walker starts toward it. Which of the following is the best interpretation of the number 500?
- A. The walker starts 500 metres from the gate.Correct
- B. The walker reaches the gate after 500 seconds.
- C. The walker walks 500 metres per second.
- D. The walker is 500 metres past the gate after 20 seconds.
Answer: A. The walker starts 500 metres from the gate.
d(0) = 500: the starting distance.
Why the other answers are wrong
- B. The walker reaches the gate after 500 seconds.
- The gate is reached when 500 − 20t = 0, at t = 25.
- C. The walker walks 500 metres per second.
- The speed is 20 metres per second.
- D. The walker is 500 metres past the gate after 20 seconds.
- After 20 seconds the distance is 100.
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