Exponential and Linear Growth Concepts

This video tutorial covers the manipulation of percents in exponential functions, focusing on growth and decline rates. It includes exercises on calculating yearly, decade, and monthly growth rates, as well as determining the decline in oil reserves over 20 years. The tutorial emphasizes understanding the constant multiplier effect in exponential growth and how to convert between different time spans.

What is the primary characteristic of exponential functions in terms of growth?

• They grow by multiplication.

• They grow by addition.

• They grow by subtraction.

• They grow by division.

In exponential growth, what is commonly used as a multiplier?

• A percent

• A fraction

• A variable

• A constant number

How does linear growth differ from exponential growth?

• Both multiply the same amount.

• Both add the same amount.

• Linear growth adds, exponential multiplies.

• Linear growth multiplies, exponential adds.

What is the initial population of wombats in Exercise 1?

• 1000

• 1079

• 1050

• 1027

What is the yearly percent growth rate of the wombat population to the nearest tenth?

• 5.1%

• 5.3%

• 5.0%

• 5.2%

What is the formula to calculate the percent change?

• Change divided by final amount times 100

• Change divided by initial amount times 100

• Initial amount divided by change times 100

• Final amount divided by change times 100

What is the decade growth rate for the wombat population?

• 54%

• 64%

• 74%

• 84%

How do you calculate the growth rate over a decade?

• Divide the yearly rate by 10

• Add the yearly rate 10 times

• Raise the yearly rate to the 10th power

• Multiply the yearly rate by 10

What is the monthly growth rate of the wombat population to the nearest tenth of a percent?

• 0.6%

• 0.5%

• 0.4%

• 0.3%

How do you calculate the monthly growth rate from the yearly rate?

• Divide the yearly rate by 12

• Take the 12th root of the yearly rate

• Multiply the yearly rate by 12

• Square the yearly rate