Mathematics

Problem

For

t\ge 1

, the size

P

of a bacterial colony (in thousands of cells) is modeled by

P(t)=A e^{0.5(t-1)}

, where

t

is in days. If

P(4)=1.6

, what is the value of

A

, the colony size at

t=1

day? a)

0.22

thousand cells b)

4.48

thousand cells c)

0.36

thousand cells d)

0.74

thousand cells