Question

Write an exponential function in the form y=ab^2 that goes through points (0,18) and (3, 9216)

Answer 1

Answer:

  y = 18·8^x

Step-by-step explanation:

We assume you want a model that looks like y = ab^x.

To find the values of "a" and "b", you can fill in the given numbers and solve the system of equations:

  18 = a·b^0

  9216 = a·b^3

The first equation tells you ...

  18 = a

Dividing the second equation by the first gives ...

  9216/18 = (a·b^3)/(a·b^0) = b^3

  512^(1/3) = b = 8

The exponential function is ...

  y = 18·8^x