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Every year, a town surveys the size of its wetland ecosystems. This equation estimates the total wetland...

Select all the correct answers.
Every year, a town surveys the size of its wetland ecosystems. This equation estimates the total wetland area, in acres, over time, t, in years.
f(t) = 740(0.95)^t
Which statements are supported by the function?
□ When t = 10, the town is predicted to have around 492 acres of wetlands.
□ When t = 10, the town is predicted to have around 443 acres of wetlands.
□ The wetland area in the town decreases by 5% per year.
□ At one time, the town had 740 acres of wetlands.
□ The wetland area in the town increases by 95% per year.

Answer

  1. When t = 10, the town is predicted to have around 443 acres of wetlands. Calculate f(10) = 740(0.95)^10 ≈ 443.

  2. The wetland area in the town decreases by 5% per year. The factor 0.95 indicates a 5% decrease.

  3. At one time, the town had 740 acres of wetlands. This is the initial value when t = 0.

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