Question

Identify the initial amount a and the rate of decay r (as a percent) of the exponential function y = 8(1 – 0.15). Evaluate the function

when t = 3. Round your answer to the nearest tenth.

Answer 1

Initial amount = 8

Decay rate = 15%

Explanation:

Given the exponential function :

y = 8(1 – 0.15)

The general form of an exponential Decay function is :

A = P(1 - r)^t

Where

A = final amout ; P = initial amount ; r = days cay rate ; t = time

Hence, comparing with the equation given :

P = 8 = initial amount

r = 0.15 = 0.15 * 100% = 15% = Decay rate