Question

Identify the initial amount a and the rate of growth/decay r (as a percent) of the exponential function. Then

evaluate the function when t = 4. Round to nearest tenth.
28. y = 360(1.24)t
29. y = 155(0.62) t

Answer 1

real-world applications, we need to model the behavior of a function. In mathematical modeling, we choose a familiar general function with properties that suggest that it will model the real-world phenomenon we wish to analyze. In the case of rapid growth, we may choose the exponential growth function:

y

=

A

0

e

k

t

where

A

0

is equal to the value at time zero, e is Euler’s constant, and k is a positive constant that determines the rate (percentage) of growth. We may use the exponential growth function in applications involving doubling time, the time it takes for a

Answer 2

Explanation:

x