Question

Decide if the equation represents exponential growth or decay. Explain your answer. y=((3^x)/(2^x))

Exponential growth and decay
ANSWERED
asked 2021-02-22
Decide if the equation represents exponential growth or decay. Explain your answer. \(\displaystyle{y}={\left(\frac{{{3}^{{x}}}}{{{2}^{{x}}}}\right)}\)

Answers (1)

2021-02-23
An equation of the form \(\displaystyle{y}={a}\cdot{b}^{{x}}\) represent exponential growth when b>1 and represents exponential decay when b
\(\displaystyle{y}={\left(\frac{{{3}^{{x}}}}{{{2}^{{x}}}}\right)}={\left(\frac{{3}}{{2}}\right)}^{{x}}\)
Since \(\displaystyle\frac{{3}}{{2}}{>}{1},{y}={\left(\frac{{{3}^{{x}}}}{{{2}^{{x}}}}\right)}={\left(\frac{{3}}{{2}}\right)}^{{x}}\) represent exponential growth.
0
 
Best answer

expert advice

Need a better answer?
...