A drug is administered so that its concentration $C$ in the bloodstream increases at a constant rate of $4$ mg/L per hour while the kidneys remove the drug at a rate proportional to $C$. Which differential equation models this situation?

Question

Accepted Answer

A. $\dfrac{dC}{dt} = 4 - kC$

Answer

$\dfrac{dC}{dt} = 4 - kC$

Answer

$\dfrac{dC}{dt} = 4 + kC$

Answer

$\dfrac{dC}{dt} = kC$

Answer

$\dfrac{dC}{dt} = 4k - C$

A drug is administered so that its concentration $C$ in the bloodstream increases at a constant rate of $4$ mg/L per hour while the kidneys remove the drug at a rate proportional to $C$ . Which differential equation models this situation?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions

A drug is administered so that its concentration CCC in the bloodstream increases at a constant rate of 444 mg/L per hour while the kidneys remove the drug at a rate proportional to CCC. Which differential equation models this situation?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions

A drug is administered so that its concentration $C$ in the bloodstream increases at a constant rate of $4$ mg/L per hour while the kidneys remove the drug at a rate proportional to $C$ . Which differential equation models this situation?