A bacteria culture is modeled by

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

A bacteria culture is modeled by

P(t)=C t^{r}

, where

P(t)

is the population after

t

hours,

C>0

, and

r

is a constant exponent. Measurements show

P(4)=200

and

P'(4)=75

. What is the value of

r

? (a)

\dfrac{3}{8}

(b)

\dfrac{8}{3}

(c)

\dfrac{3}{2}

(d)

2

Related theory

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