For , the size of a bacterial colony (in thousands of cells) is modeled by , where is…

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

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