Population Growth Models and Predictions

The video tutorial explains how to model population growth in Pville, USA, using both linear and exponential equations. It starts by introducing the population data from 1980 and 1981, then constructs a linear model by calculating the slope and intercept. Next, it develops an exponential model by determining the growth factor. Finally, the tutorial uses both models to predict the population in 1987, demonstrating the differences in predictions between linear and exponential growth.

What was the estimated population of Pottsville, USA, in 1980?

• 31,400

• 31,450

• 35,553

• 35,000

Tags

CCSS.HSF-LE.A.1A

What is the form of the linear equation used to model population growth?

• P(t) = a * b^t

• P(t) = mt + b

• P(t) = a + b

• P(t) = m * b^t

Tags

CCSS.8.EE.B.5

How is the slope of the linear model calculated?

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

• By adding the change in population to the change in time

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

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

Tags

CCSS.HSF-IF.C.8B

What does the 'A' represent in the exponential model P(t) = A * B^t?

• The rate of change

• The initial population

• The growth factor

• The time in years

Tags

CCSS.HSF-IF.C.8B

How is the growth factor 'B' determined in the exponential model?

• By multiplying the populations of two consecutive years

• By adding the populations of two consecutive years

• By subtracting the population of the earlier year from the later year

• By dividing the population of the later year by the earlier year

Tags

CCSS.HSF.BF.A.2

What is the predicted population of Pottsville in 1987 using the linear model?

• 60,171

• 73,189

• 35,553

• 31,450

Tags

CCSS.HSF.BF.A.2

What is the value of 'T' when predicting the population for the year 1987?

• 8

• 6

• 7

• 9

Tags

CCSS.HSF.LE.A.2

What is the predicted population of Pottsville in 1987 using the exponential model?

• 31,450

• 60,171

• 35,553

• 73,189

Tags

CCSS.HSF.IF.C.9

CCSS.8.F.A.2

Which model predicts a higher population for Pottsville in 1987?

• Both predict the same

• Exponential model

• Neither model

• Linear model

Tags

CCSS.HSF.IF.C.9

CCSS.8.F.A.2

What is the base year used for both models?

• 1990

• 1987

• 1981

• 1980