Question

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. y=0.99^t

Exponential growth and decay
ANSWERED
asked 2021-06-23
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \(\displaystyle{y}={0.99}^{{t}}\)

Answers (1)

2021-06-24

We are given the function: \(y=0.99^t\)
The fuction is of the form \(y=a(1-r)^t\), where \(1-r<1,\) so it represents exponential decay. We determine the rate of decay: \(1-r=0.99\)
\(r=1-0.99\)
\(r=0.01\)

0
 
Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2021-06-19
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \(\displaystyle{y}={0.99}^{{t}}\)
asked 2021-06-21
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \(\displaystyle{f{{\left({t}\right)}}}={80}{\left(\frac{{3}}{{5}}\right)}^{{t}}\)
asked 2021-05-31
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \(\displaystyle{f{{\left({t}\right)}}}={80}{\left(\frac{{3}}{{5}}\right)}^{{t}}\)
asked 2021-05-30
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change.
\(\displaystyle{f{{\left({t}\right)}}}=\frac{{1}}{{3}}{\left({1.26}\right)}^{{t}}\)
asked 2021-07-04
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change.
\(\displaystyle{f{{\left({t}\right)}}}={80}{\left(\frac{{3}}{{5}}\right)}^{{t}}\)
asked 2021-05-29
Determine whether each function represents exponential growth or exponential decay. Identify the percent rate of change.
\(\displaystyle{g{{\left({t}\right)}}}={2}{\left({\frac{{{5}}}{{{4}}}}\right)}^{{t}}\)
asked 2020-12-05

Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change. \(y=5(0.6)^t\)

asked 2021-02-09

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \(y=3(1.88)ty=3(1.88)^t\)

asked 2021-01-13

Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change. \(f(t)=0.8(1/4)^t\)

asked 2021-07-05

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \(f(t)=6(0.84)^t\)

...