Question

A group of hyenas is called a cackle. In a certain geographic location, a cackle of hyenas is declining at a rate of nine percent every year. If there are currently 78 hyenas in the cackle, create an exponential decay function to model the problem.(1 point)
Responses

y=78(0.9)t

y equals 78 left parenthesis 0.9 right parenthesis superscript t baseline

y=78(0.09)t

y equals 78 left parenthesis 0.09 right parenthesis superscript t baseline

y=78(0.91)t

y equals 78 left parenthesis 0.91 right parenthesis superscript t baseline

y=78(1.09)t

Answer 1

y = 78(0.91)^t

Explanation: A 9% yearly decline means multiply by 1 − 0.09 = 0.91 each year, with t in years.