Exponential Growth and Rates

This video is part two of an Algebra 2 lesson on exponential functions, focusing on practical applications. It reviews problems involving growth rates, such as calculating monthly growth from an annual rate for llama populations, determining weekly calorie burn increase from a daily rate, and finding the growth of a bank account over three years given a five-year doubling period. The lesson emphasizes the use of exponential formulas and graphing calculators to solve these problems. The video concludes with a summary and a preview of the next part.

What is the main focus of this lesson?

• Logarithmic functions

• Exponential functions

• Quadratic functions

• Linear functions

What is the annual growth rate of the llama population?

• 6%

• 7%

• 4%

• 5%

How many months are considered in a year for the growth calculation?

• 12

• 11

• 13

• 10

What formula is used to calculate the monthly growth rate?

• 1 + k = 1 + r^n

• r = k^n

• 1 + r = 1 + k^n

• k = r^n

What is the monthly growth rate of the llama population rounded to the nearest tenth percent?

• 0.7%

• 0.6%

• 0.5%

• 0.4%

Why can't the annual growth rate simply be divided by 12 to find the monthly rate?

• Because the annual rate is too small

• Because growth is exponential and compounds

• Because months have different lengths

• Because growth is linear

What is the daily growth rate for calorie burn?

• 4%

• 3%

• 6%

• 5%

How many days are considered in a week for the growth calculation?

• 8

• 7

• 6

• 5

What is the weekly growth rate for calorie burn rounded to the nearest tenth percent?

• 45.7%

• 40.7%

• 35.7%

• 30.7%

If a bank account doubles every five years, what is the growth rate after three years?

• 51.6%

• 81.6%

• 71.6%

• 61.6%