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stepladder [879]
3 years ago
15

The area covered by a marsh, A, starts at 11500 acres and drops by a 1/4 each year for n years. Write a formula for A(n).

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

The formula for  that represent the area covered by a marsh A(n) is A(n)=11500(\frac{1}{4} )^n.

An exponential decay is given by the function:

y = abˣ

Where a is the initial value of y, b is a constant which is less than 1, y, x are variables.

Since the area covered by a marsh, A, starts at 11500 acres, hence a = 11500. Since the area drops by 1/4 each year for n years, hence:

A(n)=11500(\frac{1}{4} )^n

Therefore the formula for A(n) is A(n)=11500(\frac{1}{4} )^n

Find out more at: brainly.com/question/20898622

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