The concentration of a chemical in a reaction vessel is measured in milligrams per…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The concentration

C(t)

of a chemical in a reaction vessel is measured in milligrams per liter (

\text{mg/L}

), where

t

is the time in minutes. If

C'(10)=0.45

, which statement best describes the meaning of this value? (a) Ten minutes after the experiment starts, concentration is increasing at about

0.45\,\text{mg/L}

per minute. (b) Ten minutes after the experiment starts, concentration has increased by

0.45\,\text{mg/L}

since the start. (c) Concentration is increasing by roughly

45\%

every minute at

t=10

minutes. (d) Concentration is increasing at about

0.45\,\text{L/mg}

per minute at

t=10

minutes.