AlgebraVery hardMeaning of a model's starting value
Algebra practice question
A diving club models the length of rope left on a drum, in metres, after d dives by M(d) = 1,500 − 25d. What does the value M(0) represent in this context?
- A. The length of rope on the drum before any divesCorrect
- B. The length of rope used in each dive
- C. The number of dives the rope will last for
- D. The length of rope left after 25 dives
Answer: A. The length of rope on the drum before any dives
M(0) = 1,500 is the amount before the first dive.
Why the other answers are wrong
- B. The length of rope used in each dive
- That is the 25.
- C. The number of dives the rope will last for
- That would be 1,500/25 = 60.
- D. The length of rope left after 25 dives
- That would be M(25) = 875.
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