In a sealed container the masses (in grams) of two chemicals satisfy for all

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

In a sealed container the masses (in grams) of two chemicals satisfy

A(t)+B(t)=50

for all

t

. Chemical

A

decays according to

\dfrac{dA}{dt}=-0.05A

. Which differential equation gives

\dfrac{dB}{dt}

solely in terms of

B

? (a)

\displaystyle \frac{dB}{dt}=-0.05B

(b)

\displaystyle \frac{dB}{dt}=2.5-0.05B

(c)

\displaystyle \frac{dB}{dt}=-2.5+0.05B

(d)

\displaystyle \frac{dB}{dt}=0.05B