Learn how to model a word problem with exponential growth function

The video tutorial explains how to model real-world situations using exponential functions. It covers the components of the exponential function, including the initial amount, rate, and time periods. The tutorial demonstrates how to apply these concepts to calculate population growth over a specified time, using a given initial population and growth rate. The process involves using a calculator to compute the final population and rounding the result to the nearest whole number. The tutorial emphasizes the importance of understanding and applying exponential models, which will be tested.

What is the purpose of a modeling function in the context of exponential functions?

• To model a situation and find the amount after a specified time

• To calculate the rate of change

• To determine the initial amount

• To find the number of time periods

In the given problem, what is the initial population?

• 1,000,236

• 1,500,000

• 1,000,000

• 1,236,000

What is the growth rate used in the problem?

• 1.3%

• 0.13%

• 13%

• 3%

How many years is the population expected to grow in the problem?

• 20 years

• 15 years

• 10 years

• 5 years

What is the final population after 10 years, rounded to the nearest whole number?

• 1,300,000

• 1,236,000

• 1,500,000

• 1,406,413