What is the exponential growth rate if the graph passes through these points?

Question

Points the graph passes through:

(0, 0)

(1, 7882.96)

(72, 567554)

Exponential growth equation: y=ab^x

Answer 1

attempting to substitute (0,0) into y=ab^x cannot succeed;  a would have to be zero!

  

Let's ignore (0,0).  Then substituting the other two stated points into the equation gives us:

7882.96 = ab

 

567554 = ab^71.

 

You can divide the latter equation by the former, and thus get an equation for b⁷⁰

and thus you could find b, and then that would enable you to find a.