Answer:
Step-by-step explanation:
Let's solve this using our formula for exponential functions:
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):
[tex]3=a(b)^0[/tex]. Anything raised to the power of 0 is 1, so that means that
a = 3. We will use that value along with the x and y from the second coordinate to solve for b:
[tex]6=3(b)^1[/tex]. b to the first is just b, so our equation is
6 = 3b and
b = 2.
Our equation then is
[tex]y=3(2)^x[/tex], the third choice down.
