Question

please help:) medal?Is the equation an example of growth or decay? y = 0.5(4)^x A. growth B. decay

Answer 1

growth

Answer 2

\[y=\frac{1}{2}4^x\rightarrow2y=4^x\rightarrow\ln2y=x\ln4\rightarrow y'\frac{1}{y}=\ln4\rightarrow y'=\frac{ln4}{2}{\left(4\right)}^x\]\[\left(y'>0\right)\forall x\]\[\text{Q.E.D.}\]