The growth in the population of a certain rodent at a dump site fits the exponential funciton A(t) = 336e^0.031t, where t is the number of years since 1963. Estimate the population in the year 2000.

CHOICES:

a. 529

b. 1058

c. 1091

d. 347

MY WORK:

2000 - 1963 = 37

So, let t = 37

A(37) = 336e^0.031(37)

A(37) = 336e^(1.147)

A(37) = 336^(3.148732529)

A(37) = 90775515.48

My answer is different from the choices given.

What did I do wrong?