Question

# What function models exponential decay? A. y=−3(1/2)^x B. y=-(1/2)(3)^x C. y=(1/2)(3)^x D. y=3(1/2)^x

Exponential models
What function models exponential decay?
A. $$\displaystyle{y}=−{3}{\left(\frac{{1}}{{2}}\right)}^{{x}}$$
B. $$\displaystyle{y}=-{\left(\frac{{1}}{{2}}\right)}{\left({3}\right)}^{{x}}$$
C. $$\displaystyle{y}={\left(\frac{{1}}{{2}}\right)}{\left({3}\right)}^{{x}}$$
D. $$\displaystyle{y}={3}{\left(\frac{{1}}{{2}}\right)}^{{x}}$$

The exponential decay has the standard form: $$\displaystyle{y}={a}{\left({b}\right)}^{{x}}$$, where 00
The correct answer is D: $$\displaystyle{y}={3}{\left(\frac{{1}}{{2}}\right)}^{{x}}$$