Answer: The exponential function would be
[tex]y=15(4)^x[/tex]
Step-by-step explanation:
Since we have given that
[tex]y=ab^x[/tex]
We have points (0,15) and (2,24)
First we take when x= 0, y = 15.
So, our equation becomes,
[tex]15=ab^0\\\\15=a[/tex]
and we take when x = 2 and y = 240
[tex]240=15b^2\\\\\dfrac{240}{15}=b^2\\\\16=b^2\\\\b=4[/tex]
So, the exponential function would be
[tex]y=15(4)^x[/tex]
