Question

Write an exponential function y=ab^2 for a graph that includes (2,24) and (3,48)

Answer 1

plug and solve for a and b

Answer 2

i think there is a mistake in the question
\[ab^2=a\times b\times b\] is not an exponential function

Answer 3

maybe it is \(y=a\times b^x\) ?

Answer 4

ab^x sorry.

Answer 5

ok then first you solve for \(b\) since you know \[a\times b^3=48\] and
\[a\times b^2=24\] and \[\frac{a\times b^3}{a\times b^2}=b=\frac{48}{24}=2\] so you have \(b=2\)

Answer 6

It was 24

Answer 7

?

Answer 8

now that we have \(b=2\) we know \(a\times 2^2=24\) so \(4a=24\) and therefore \(a=6\) and your function is \[y=6\times 2^x\]