Question

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

Answer 1

6(2)^x

Explanation:

Answer 2

I think you mean y=ab^x.
First, plug in the values of x=2 and y=24 for the first equation, and x=3 and y=48 for the second one:

24 = ab^2
48 = ab^3

divide equation 2 by equation 1:
2 = b^1

or, more simply:
2 = b

now plug b into one of the equations to get "a":

24 = a*2^2
24 = a*4
6 = a

So, the answer is y = 6(2)^x
(I think you need to specify the power of x in your answers)