Question

In a certain geographic location, a herd of elephants is declining at a rate of four percent every year. If there are currently 62 elephants in the herd, create an exponential decay function to model the problem. Let y represent the number of elephants after t years.(1 point)
Responses

y=62(0.04)t

y equals 62 left parenthesis 0.04 right parenthesis superscript t baseline

y=62(0.6)t

y equals 62 left parenthesis 0.6 right parenthesis superscript t baseline

y=62(0.96)t

y equals 62 left parenthesis 0.96 right parenthesis superscript t baseline

y=62(1.04)t

Answer 1

y = 62(0.96)^t

Explanation: A 4% annual decline gives a decay factor of 1 − 0.04 = 0.96, so multiply 62 by 0.96^t.