Linear Population Growth Analysis

The video tutorial explains the linear growth of a suburb's population from 1996 to 2008, starting with 48,120 people and increasing by 800 people annually. It demonstrates how to formulate a linear equation to express population as a function of time, using the initial population as the intercept and the growth rate as the slope. The tutorial further calculates the population in 2013 by determining the number of years since 1996 and applying the linear equation. The final population prediction for 2013 is 61,720 people.

What type of growth did the population of the Cleveland suburb experience from 1996 to 2008?

• Exponential

• Logarithmic

• Quadratic

• Linear

In the linear function P(t) = b + mt, what does 'b' represent?

• The year of prediction

• The initial population

• The rate of growth

• The slope of the line

What is the slope 'm' in the linear equation for the population growth?

• 2013

• 1996

• 800

• 48,120

What is the initial population of the suburb in 1996?

• 61,720

• 800

• 48,120

• 17

What is the constant rate of change in the population per year?

• 17

• 61,720

• 800

• 48,120

How do you calculate the number of years since 1996 for a given year?

• Multiply the given year by 1996

• Divide the given year by 1996

• Subtract 1996 from the given year

• Add 1996 to the given year

Which year is used as the base year for calculating 't' in the function P(t)?

• 1996

• 2020

• 2008

• 2013

In the equation P(t) = 48,120 + 800t, what does 't' represent?

• The population in 2013

• The number of years since 1996

• The rate of growth

• The initial population

What is the predicted population of the suburb in 2013?

• 48,120

• 61,720

• 800

• 17

How is the population in 2013 calculated using the linear equation?

• By dividing 48,120 by 800

• By subtracting 17 from 48,120

• By adding 800 to 48,120

• By multiplying 800 by 17 and adding to 48,120