Growth and decay Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/differential-equations/growth-and-decay/quiz/

1. 1

   dP/dt = 0.03P, P(0) = 500, find P(10)
   1. A) 674.93
   2. B) 500
   3. C) 6749.3
   4. D) 650

2. 2

   dy/dt = −0.2y, y(0) = 80, find y(5)

   Answer: ____________________

3. 3

   dm/dt = −0.5m, m(0) = 40, find m(2)
   1. A) 14.72
   2. B) 0
   3. C) 40
   4. D) −14.72

4. 4

   dy/dt = −0.1y, y(0) = 50, find y(10)

   Answer: ____________________

5. 5

   dy/dt = −0.2y, y(0) = 80, when is y = 20
   1. A) t ≈ −6.93
   2. B) t ≈ 80
   3. C) t ≈ 6.93
   4. D) t ≈ 69.3

6. 6

   dP/dt = kP, P(0) = 50, P(2) = 150, find k

   Answer: ____________________

7. 7

   dN/dt = kN, N(0) = 1000, N(3) = 1500, find N(6)
   1. A) 1500
   2. B) 1000
   3. C) 2250

8. 8

   dm/dt = −km, m(0) = 60, half-life 10, when is m = 15

   Answer: ____________________

9. 9

   dy/dt = −0.3y, y(0) = 90, when is y = 10
   1. A) t ≈ 90
   2. B) t ≈ −7.32
   3. C) t ≈ 7.32
   4. D) t ≈ 73.2

10. 10

    dA/dt = 0.08A, A(0) = 2000, find A(12)

    Answer: ____________________