write an exponential equation of the form ab^x whose graph passes through the following points: (0,5) and (1,15)

We have

y = ab^x   ....   and we need to find a and b

So, using (0,5)  we have

5 = ab⁰

5 = a

And using (1, 15), we have

15 = 5b¹

15 = 5b     divide by 5 on both sides

b = 3        So our function is

y = (5)3^x

y=ab^x

let a=5 and b=3

y=5(3^x)  passes through points (0,5) &(1,15)

not sure if this is what you're looking for