Question

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

Answer 1

Answer:

$f(x)=9(\frac{5}{3} )^x$

Step-by-step 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:

$f(x)=9(\frac{5}{3} )^x$

Hope this helps!