Question

200 bats in a colony are affected by a disease which causes their population to decrease by 8% every day.

the following equation represents the bat colony population as the disease effect's them
f (x)= 200 (0.92)^x
Does this equation represent exponential growth or exponential decay. Explain how you know using the function itself.
15 POINTS!!!!!

Answer 1

• Exponential decay

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The first explanation comes from the information given in the question.

It says the population decreases.

From the function itself, we look at the base of the exponent. The function is representing a growth if the base is greater than 1 and decay if the base is less than 1.

In our case 0.92 < 1, hence the function represents exponential decay.