Exponential Growth

Mr. Anderson explains exponential growth using a rabbit population model. He demonstrates how to calculate growth rates and uses spreadsheets to visualize population changes over time. The video also covers algebraic solutions for exponential growth and explores a bacteria growth example, highlighting the transition to logistic growth when resources become limited.

What does the letter 'N' represent in the context of exponential growth?

• The number of generations

• The growth rate

• The time period

• The population size

How is the growth rate 'r' calculated in a population?

• By multiplying births and deaths

• By dividing the initial population by the number of generations

• By subtracting deaths from births and dividing by the initial population

• By adding births and deaths

What happens to the population when the growth rate is multiplied by a larger value?

• The growth rate changes

• The population decreases

• The population remains constant

• The population increases more rapidly

What shape does the curve of exponential growth typically take?

• J-shaped

• Circular

• S-shaped

• Linear

What is the effect of changing the growth rate to 0 in a spreadsheet model?

• The growth rate becomes negative

• The population remains constant

• The population increases

• The population decreases

What is the algebraic formula for exponential growth?

• N = N0 * rt

• N = N0 / (1 + rt)

• N = N0 * (1 + r)^t

• N = N0 + rt

In the algebraic solution, what does raising to the power of 't' represent?

• The time period

• The initial population

• The number of births

• The growth rate

How does the growth rate of bacteria compare to that of rabbits in the video?

• Rabbits have a faster growth rate

• Both have the same growth rate

• Bacteria have a faster growth rate

• Bacteria have a slower growth rate

What happens to the growth rate as resources become limited?

• It decreases

• It remains constant

• It becomes negative

• It increases

What type of growth is introduced when exponential growth is no longer sustainable?

• Cubic growth

• Quadratic growth

• Logistic growth

• Linear growth