Credit Sprint / Practice problems / Logistic population growth

Logistic population growth practice problems

Biology Unit 8. Try each one, then open the worked solution. The Credit Sprint app generates unlimited new versions with fresh numbers.

Problem 1.

A population has r = 1, N = 250 and carrying capacity K = 1000. Use dN/dt = rN(K − N)/K. What is dN/dt?

Show solution

1 × 250 × (1000 − 250) ÷ 1000 = 187.5 per unit time.

Problem 2.

A population has r = 1, N = 250 and carrying capacity K = 1000. Use dN/dt = rN(K − N)/K. What is dN/dt?

Show solution

1 × 250 × (1000 − 250) ÷ 1000 = 187.5 per unit time.

Problem 3.

A population has r = 0.4, N = 900 and carrying capacity K = 1000. Use dN/dt = rN(K − N)/K. What is dN/dt?

Show solution

0.4 × 900 × (1000 − 900) ÷ 1000 = 36 per unit time.

Problem 4.

A population has r = 0.2, N = 1500 and carrying capacity K = 2000. Use dN/dt = rN(K − N)/K. What is dN/dt?

Show solution

0.2 × 1500 × (2000 − 1500) ÷ 2000 = 75 per unit time.

Problem 5.

A population has r = 0.5, N = 1800 and carrying capacity K = 2000. Use dN/dt = rN(K − N)/K. What is dN/dt?

Show solution

0.5 × 1800 × (2000 − 1800) ÷ 2000 = 90 per unit time.

Problem 6.

A population has r = 1, N = 1500 and carrying capacity K = 2000. Use dN/dt = rN(K − N)/K. What is dN/dt?

Show solution

1 × 1500 × (2000 − 1500) ÷ 2000 = 375 per unit time.