Solving exponential growth model problems

The video tutorial explains how to use a population model to determine future population sizes. It starts with a given model where the population is expressed as 548 times e raised to the power of kt, with k as the growth rate and t as time in years. The tutorial demonstrates how to calculate the growth rate constant k using historical population data from 1970 and then applies this to predict the population in 2010. The process involves solving for k using logarithms and then using the model to find the future population, resulting in a population of 720,612 people in 2010.

What does the variable 'k' represent in the population model?

• Initial population

• Growth rate

• Time in years

• Population in 2010

In the year 2000, what is the value of 't' in the population model?

• -30

• 10

• 0

• 30

What mathematical operation is used to isolate 'k' in the equation?

• Exponentiation

• Addition

• Natural logarithm

• Multiplication

What is the approximate value of 'k' after solving the equation?

• 0.720

• 0.241

• 0.548

• 0.0274

What is the predicted population in 2010 according to the model?

• 1,000,000

• 720,612

• 241,000

• 548,000