Exponential Population Growth Analysis

The video tutorial explains how to solve a population growth problem using exponential growth formulas. It begins by introducing the concept of exponential growth and setting up a problem involving a city's population increase over time. The instructor contrasts linear and exponential growth, emphasizing the importance of using the correct model. The tutorial then walks through calculating the growth rate and applying it to predict future population. The video concludes with a recap of the steps involved in solving such problems.

What type of growth is the city experiencing?

• Exponential

• Linear

• Quadratic

• Logarithmic

Which formula is used to calculate exponential growth?

• A = P + rt

• A = Pe^(rt)

• A = P(1 + r)^t

• A = P(1 + rt)

What was the population of the city in the year 2000?

• 18,000

• 20,000

• 28,000

• 36,000

By how many people did the population increase from 2000 to 2010?

• 10,000

• 6,000

• 8,000

• 12,000

What is the incorrect assumption made by some when predicting future population?

• Exponential growth

• Linear growth

• Quadratic growth

• Logarithmic growth

What is the first step in solving for the growth rate?

• Subtract the principal

• Add the principal

• Divide by the principal

• Multiply by the principal

What mathematical function is used to solve for the growth rate?

• Polynomial

• Trigonometric

• Logarithmic

• Exponential

What is the growth rate of the city's population per year?

• 4.5%

• 3.36%

• 5.2%

• 2.5%

How many years are considered when predicting the population in 2020 from 2000?

• 20 years

• 10 years

• 25 years

• 15 years

What is the predicted population of the city in 2020?

• 45,000

• 36,000

• 42,000

• 39,200