2. First-Order Equations I

Growth And Decay — Quiz

Test your understanding of growth and decay with 5 practice questions.

Practice Questions

Question 1

For the differential equation $dy/dt=ky$, what does $k>0$ indicate?

Question 2

A population is modeled by $P(t)=120e^{-0.3t}$. What is $P(0)$?

Question 3

In the continuous decay model $dy/dt=ky$, a substance decreases by $8\%$ per unit time. What is $k$?

Question 4

A quantity has half-life $6$ hours. What fraction remains after $12$ hours?

Question 5

Solve the initial value problem $dy/dt=3y$, $y(0)=4$. What is $y(t)$?