Question

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. f(t)=1/3(1.26)^t

Exponential growth and decay
ANSWERED
asked 2021-05-30
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change.
\(\displaystyle{f{{\left({t}\right)}}}=\frac{{1}}{{3}}{\left({1.26}\right)}^{{t}}\)

Expert Answers (1)

2021-05-31
We are given the function: \(\displaystyle{f{{\left({t}\right)}}}=\frac{{1}}{{3}}{\left({1.26}\right)}^{{t}}\)
The function represents exponential growth because 1.26>1.
We rewrite the function in the form \(\displaystyle{y}={a}{\left({1}+{t}\right)}^{{t}}\): \(\displaystyle{y}=\frac{{1}}{{3}}{\left({1}+{0.26}\right)}^{{t}}\)
We determine the rate of change: r=0.26
16
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...