Question

write the exponetial function y=ab^x for a graph that includes (2,24) and (3,48)

Answer 1

\[ab^2=24\]
\[ab^3=48\] so
\[\frac{ab^3}{ab^2}=b=\frac{48}{24}=2\]

Answer 2

\[a\times 2^2=24\]
\[4a=24\]
\[a=6\] and we can check that \[6\times 2^3=6\times 8 =48\] so it works.

Answer 3

yes

Answer 4

oh so the answer is
\[y=6\times 2^x\]

Answer 5

but whats first the 2 then 6?

Answer 6

first we solved for b, so b = 2. then we solved for a and a = 6
you understand that only the 2 is being raised to the power of x.
\[y = 6\times 2^x\]