Population Growth Formula

What is the formula for exponential population growth?

• N(t) = N0 * e^(r * t)

• N(t) = N0 * (1 + r)^t

• N(t) = N0 * (1 - r)^t

• N(t) = N0 * (r * t)

If a population starts with 100 individuals and has a growth rate of 0.05 per year, how many individuals will there be after 5 years?

• 120

• 128

• 110

• 105

Tags

NGSS.HS-LS2-1

NGSS.HS-LS2-2

What is the formula for logistic population growth?

• dN/dt = rN(1 + K/N)

• dN/dt = rN(1 + N/K)

• dN/dt = rN(1 - N/K)

• dN/dt = rN(1 - K/N)

If a population has a carrying capacity of 500 and a growth rate of 0.1, how many individuals will there be when the population reaches carrying capacity?

• 500

• 100

• 250

• 750

Tags

NGSS.HS-LS2-1

What type of growth is shown in this graph?

• Linear

• Exponential

• Logistic

• Overshoot/dieback pattern

What is the carrying capacity of the following graph?

• 600

• 800

• 1000

• 2000

Tags

NGSS.HS-LS2-1

What type of growth is shown on the right side of this graph?

• Linear

• Exponential

• Logarithmic

• Decreasing

Tags

NGSS.HS-LS2-2

What is the formula for calculating the intrinsic rate of increase in a population?

In a population growth study, if the initial population is 200 and the growth rate is 0.03, what will be the population after 10 years using the exponential growth formula?

Which of the following factors is NOT considered in the logistic growth model?

• Carrying capacity

• Initial population size

• Environmental resistance

• Predation rate