Find the formula for an exponential function that passes through the two points given.

Question

Find the formula for an exponential function that passes through the two points given.

 and 

Answer 1

y = Ae^kt

7 = Ae^-3k and 1 = Ae^k

A = e^-k

7 = e^-ke^-3k = e^-4k

k =(-1/4) ln 7

You can look up the ln and then solve for A