Population Growth in Middleville and Little Ville

The video tutorial explains the population growth of Middleville and Littleville since 2000, using linear functions to model their growth. Middleville's growth is represented by the function M(T) = 850T + 11,500, while Littleville's growth is modeled by L(T) = 850T + 8,525. The tutorial demonstrates how to derive these functions and calculate future populations, specifically for the year 2020.

What is the linear function used to model the population growth of Middleville?

• M(T) = 750T + 10,000

• M(T) = 850T + 11,500

• M(T) = 900T + 12,000

• M(T) = 800T + 11,000

In what year did Little Ville have a population of 13,625?

• 2015

• 2010

• 2006

• 2000

What is the slope of the linear function representing Little Ville's population growth?

• 750

• 850

• 950

• 1050

How do you calculate the vertical intercept for Little Ville's population model?

• By using the slope and a known point

• By guessing the value

• By using the year 2020 data

• By using the slope only

What is the vertical intercept for Little Ville's population model?

• 8,525

• 8,500

• 8,525

• 8,000

What alternative method can be used to verify the vertical intercept for Little Ville?

• Adding the growth over 6 years to the 2006 population

• Using the year 2020 data

• Subtracting the growth over 6 years from the 2006 population

• Using the slope only

How many years after 2000 is the year 2020?

• 15 years

• 25 years

• 20 years

• 10 years

What is the population of Middleville in 2020 according to the model?

• 32,000

• 30,000

• 28,500

• 25,525

What is the population of Little Ville in 2020 according to the model?

• 22,000

• 27,000

• 25,525

• 24,000

How do you determine the value of T for the year 2020?

• By adding 20 to the base year

• By subtracting the base year from 2020

• By using the year 2000 data

• By guessing the value