Question

Y= abx that goes through points (0,13) and (2,325)

Answer 1

`y = 13(5)^x`

Explanation:

We are given the following exponential function:

`y = ab^x`

(0,13)

This means that when
`x = 0, y = 13`. So

`y = ab^x`

`13 = ab^0`

`a = 13`

Then

`y = 13b^x`

(2,325)

This means that when
`x = 2, y = 325` We use this to find b. So

`y = 13b^x`

`13b^2 = 325`

`b^2 = (325)/(13)`

`b^2 = 25`

`b = 5`

Thus

`y = 13(5)^x`