Advanced MathMediumIdentifying the model from a percentage change
Advanced Math practice question
A forest's area is 8,000 hectares and shrinks by 3% each year. Which function gives the area A, in hectares, after t years?
- A. A(t) = 8000(0.97)ᵗCorrect
- B. A(t) = 8000(0.03)ᵗ
- C. A(t) = 8000 − 240t
- D. A(t) = 8000(1.03)ᵗ
Answer: A. A(t) = 8000(0.97)ᵗ
A 3% loss keeps 97% each year: multiply by 0.97 repeatedly.
Why the other answers are wrong
- B. A(t) = 8000(0.03)ᵗ
- 0.03 keeps 3%, a 97% loss each year.
- C. A(t) = 8000 − 240t
- 8000 − 240t is linear: 3% of the ORIGINAL each year.
- D. A(t) = 8000(1.03)ᵗ
- 1.03 is growth, not shrinkage.
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