Question

Please help need this answered fast am giving 40 POINTS away :)

Answer 1

`f(x)=9((5)/(3) )^x`

Explanation:

We want to solve for a and b. So, let's substitute 0 in for x and 9 in for f(x);

`f(x)=a*b^x`

9 =
`a*b^0=a*1=a`

So we know that a = 9.

To find b, let's plug 1 in for x and 15 in for f(x) (again, this is from the given table):

`f(x)=a*b^x`

15 = 9 *
`b^1=9*b`

Divide both sides by 9:

b = 15/9 = 5/3

So, our equation for f(x) is:

`f(x)=9((5)/(3) )^x`

Hope this helps!