Question

Land is decreasing at a rate o 17.3 annually. In 2016 there was 3,400 acres. If t represents the number of years since 2016.

Answer 1

The equation that can be used to determine after how many years the town will have of 900 acres of undeveloped land is 900 = 3400 * (0.827)^t

Estimate the equation that can be used to determine after how many years the town will have of 900 acres of undeveloped land

From the question, the given parameters are:

Initial value = 3400 acres

Rate, r = 17.3%

Final value = 900

An exponential function is represented using the following equation

y = a(1 - r)^t

Substitute the known values in the above equation

y = 3400 * (1 -17.3%)^t

Express 17.3% as decimal

y = 3400 * (1 -0.173)^t

Evaluate the difference

y = 3400 * (0.827)^t

Recall that:

Final value = 900

So, we have

900 = 3400 * (0.827)^t

Hence, the equation that can be used to determine after how many years the town will have of 900 acres of undeveloped land is 900 = 3400 * (0.827)^t

Read more about exponential functions at:

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