Population Decay and Calculation

The video tutorial explains how to model the population decline of a fictional town, Lehigh, using exponential regression. It covers setting up the regression on a calculator, calculating the exponential model, and interpreting the results. The tutorial also demonstrates how to find the population at a specific year and determine the time it takes for the population to reach a certain number or halve.

What does the variable 'T' represent in the context of this problem?

• The decay rate

• The year of the population peak

• The number of years after 1880

• The initial population

Which key sequence is used to clear old data in the calculator?

• RIGHT, CLEAR, ENTER

• STAT, CALC, ENTER

• UP, CLEAR, ENTER

• STAT, ENTER, CLEAR

What is the decay factor 'B' rounded to three decimal places?

• 0.650

• 0.950

• 0.850

• 0.750

How do you calculate the percent decrease per year from the decay factor?

• Divide B by 100

• Add B to 1 and multiply by 100

• Multiply B by 100

• Subtract B from 1 and multiply by 100

What is the population of Lehigh 55 years after 1880, rounded to the nearest whole number?

• 501

• 360

• 950

• 8422

What is the first step to find the time when the population reaches 360 people?

• Enter 360 in Y1

• Enter 360 in Y2

• Enter 360 in L1

• Enter 360 in L2

What is the approximate value of T when the population is 360?

• 55.00

• 61.46

• 13.51

• 70.00

What is the initial population value used in the model?

• 4211.065

• 8422.13

• 501

• 360

How do you find the time it takes for the population to halve using the model?

• Solve the equation algebraically

• Find the intersection of Y1 and Y2

• Estimate using a graph

• Use the table of values

What is the approximate time it takes for the population to halve?

• 70.00 years

• 55.00 years

• 13.51 years

• 61.46 years