Question

"the exponential function y=3(4)^x grows by a factor of 4 between x=1 and x=2 . what factor does it grow by between x=3 and x=4?"

Answer 1

if we call with f(x) your function, namely:
\[\large f\left( x \right) = 3 \times {4^x}\]
then we can write:
\[\Large \begin{gathered}
f\left( 3 \right) = 3 \times {4^3} = 3 \times 64 = ...? \hfill \\
f\left( 4 \right) = 3 \times {4^4} = 3 \times 256 = ...? \hfill \\
\end{gathered} \]
now:
what is:
\[\Large \frac{{f\left( 4 \right)}}{{f\left( 3 \right)}} = ...?\]

Answer 2

the answer would be 4

Answer 3

yes!

Answer 4

thank you so much

Answer 5

thank you!