Name ______________________Date ____________Score ____ / 12
Exponential growth and decay models (dy/dt = ky) practice
Exponential growth and decay models (dy/dt = ky) · 1–12
Use y = y₀e^(kt). Round to the nearest hundredth.
1.dydt = −0.1y, y(0) = 430y(5) ≈
2.dydt = −0.12y, y(0) = 100y(6) ≈
3.dydt = −0.06y, y(0) = 450y(6) ≈
4.dydt = −0.05y, y(0) = 490y(10) ≈
5.dydt = −0.15y, y(0) = 440y(8) ≈
6.dydt = −0.08y, y(0) = 390y(4) ≈
7.dydt = −0.12y, y(0) = 160y(7) ≈
8.dydt = −0.04y, y(0) = 380y(8) ≈
9.dydt = −0.05y, y(0) = 350y(7) ≈
10.dydt = −0.11y, y(0) = 60y(10) ≈
11.dydt = −0.06y, y(0) = 310y(8) ≈
12.dydt = −0.07y, y(0) = 80y(10) ≈
Answer key — Exponential growth and decay models (dy/dt = ky) practice
Exponential growth and decay models (dy/dt = ky)
mathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.com