## anonymous 5 years ago write the exponetial function y=ab^x for a graph that includes (2,24) and (3,48)

1. anonymous

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

2. anonymous

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

3. anonymous

yes

4. anonymous

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

5. anonymous

but whats first the 2 then 6?

6. anonymous

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. $y = 6\times 2^x$