Let f(t) be an exponential function with f(0) = 11 and f(4) = 59.

Use the form f(t) = Pa^t to find an equation for this exponential function? What is the Value of P and A?

Thanks!

Just plug in the two values for t, and get two equations for P and A:

PA^0 = P = 11
so, f(t) = 11A^t
11A^4 = 59
A^4 = 59/11
A = 1.52

f(t) = 11*1.52^t