Question

Identify the function as exponential growth or exponential decay. y=0.3⋅0.5^x

Exponential growth and decay
ANSWERED
asked 2021-06-25
Identify the function as exponential growth or exponential decay.
\(\displaystyle{y}={0.3}⋅{0.5}^{{x}}\)

Answers (1)

2021-06-26

Consider the exponential function \(\displaystyle{y}={a}\cdot{b}^{{x}}\) it is an exponential growth if \(b>1\) and exponential decay if 0 It is given that \(\displaystyle{y}={0.3}\cdot{0.5}^{{x}}\)
Since \(\displaystyle{b}={0.5}{<}{1}\), the given function represents an exponential decay.

0
 
Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2021-05-25
Identify each function as exponential growth or decay, and find the growth or decay factor. y=0,1*2^x
asked 2021-06-18
Identify the function as exponential growth or exponential decay.
\(\displaystyle{y}={1.8}\cdot{0.4}^{{x}}\)
asked 2021-06-13
Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor.
\(\displaystyle{y}={0.15}{\left(\frac{{3}}{{2}}\right)}^{{x}}\)
asked 2021-06-21
Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor.
\(\displaystyle{y}={1.3}{\left(\frac{{1}}{{4}}\right)}^{{x}}\)
asked 2021-06-23
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \(\displaystyle{y}={0.99}^{{t}}\)
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 2021-05-21
Determine whether the function represents exponential growth or exponential decay. \(\displaystyle{y}={5}{\left({0.95}\right)}^{{x}}\)
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 2021-07-04
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change.
\(\displaystyle{f{{\left({t}\right)}}}={80}{\left(\frac{{3}}{{5}}\right)}^{{t}}\)
...