Question

Identify each of the following functions as exponential growth or decay. Then give the rate of growth or decay as a percent. y=a(1.1)^t

Exponential growth and decay
ANSWERED
asked 2021-05-28
Identify each of the following functions as exponential growth or decay. Then give the rate of growth or decay as a percent.
\(\displaystyle{y}={a}{\left({1.1}\right)}^{{t}}\)

Answers (1)

2021-05-29
\(\displaystyle{y}={a}{\left({1.1}\right)}^{{t}}\)
This is a growth function
Rate of decay is 1.1-1=0.1
That is 10%
Consider an exponential function of the form: \(\displaystyle{y}={b}\cdot{a}^{{x}}\)
If a>1, then it is exponential growth with growth rate a-1
If a<1, then it is exponential decay function with decay rate 1-a
0
 
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