Population Dynamics and Linear Equations

The video tutorial explains how to solve a linear equation to determine the number of years it will take for a town's population to decrease from 280,000 to 269,800 due to a yearly decrease of 850 people. It involves defining variables, formulating the equation, and solving for the time variable. The solution shows that it will take 12 years for the population to reach the target number.

What is the initial population of the town mentioned in the problem?

• 269,800

• 850

• 280,000

• 300,000

By how much does the population decrease each year?

• 500

• 1,000

• 750

• 850

What does the variable 'P' represent in the equation?

• Population of the town

• Time in years

• Initial population

• Rate of change

What is the equation used to represent the population after T years?

• P = 280,000 - 850T

• P = 280,000 + 850T

• P = 269,800 + 850T

• P = 269,800 - 850T

What is the rate of change in the population?

• Constant

• Zero

• Positive

• Negative

What value is substituted for P to solve the equation?

• 280,000

• 269,800

• 850

• 12

What is the first step in isolating the variable T?

• Multiply both sides by 850

• Subtract 280,000 from both sides

• Add 850 to both sides

• Divide both sides by 280,000

What is the result of dividing -10,200 by -850?

• 12

• 10

• 15

• 8

How many years will it take for the population to reach 269,800?

• 8 years

• 10 years

• 12 years

• 15 years

What is the final solution for T in the equation?

• T = 15

• T = 12

• T = 10

• T = 8