Find an exponential growth model

n(t) = Cat
for the population t years since the bullfrogs were put into the pond with coordinates (0,148) (2,333)

1 answer

do you mean n = c e^(at) ? I will assume that.

when t = 0 , e^at = e^0 = 1
so
c = 148

whet t = 2
333 = 148 e^(2a)
2.25 = e^(2a)
so
ln 2.25 = 2 a
.8109 = 2 a
a = .405
so
n = 148 e^(.405 t)