Beetle Population Growth Concepts

The video tutorial explains the linear growth model of a beetle population, starting with an initial population of 7 and reaching 56 after 7 weeks. It derives the explicit formula for population growth, calculates the common difference, and solves for the number of weeks required to reach a population of 147. The tutorial concludes with a summary of the findings.

What is the initial population of beetles at week 0?

• 7

• 10

• 5

• 12

After how many weeks is the beetle population 56?

• 5 weeks

• 8 weeks

• 6 weeks

• 7 weeks

What does the explicit formula P_sub_N = P_sub_0 + D x N represent?

• The formula for logarithmic growth

• The formula for quadratic growth

• The formula for linear growth

• The formula for exponential growth

How is the common difference, D, calculated in the context of beetle population growth?

• By dividing the change in population by the change in time

• By subtracting the change in time from the change in population

• By multiplying the initial population by time

• By adding the initial population to the change in time

What is the ordered pair for the initial population?

• (7, 0)

• (0, 56)

• (56, 7)

• (0, 7)

What is the value of the common difference, D, in this model?

• 8

• 7

• 6

• 5

What does the common difference indicate in the beetle population model?

• The population doubles each week

• The population increases by 7 each week

• The population remains constant

• The population decreases by 7 each week

What is the explicit equation for the beetle population after N weeks?

• P_sub_N = 7 + 7N

• P_sub_N = 7 + 6N

• P_sub_N = 7 + 8N

• P_sub_N = 7 + 5N

What is the population of beetles after 20 weeks?

• 127

• 137

• 147

• 157

How many weeks will it take for the beetle population to reach 147?

• 15 weeks

• 18 weeks

• 20 weeks

• 22 weeks