Growth and Decay Concepts

The video tutorial by Kirk Wier covers percent manipulations in Common Core Algebra 2. It explains how to calculate percent growth over different time periods using examples like wombat population growth, oil reserves, and radioactive decay. The tutorial emphasizes the use of exponents and fractional exponents to determine growth and decay rates, providing practical applications in real-world scenarios.

What is the main focus of the lesson on percent manipulations?

• Studying historical mathematicians

• Exploring geometric shapes

• Learning basic algebraic equations

• Understanding percent growth over different time periods

If a population grows by 8% per year, what is the incorrect way to calculate its growth over a decade?

• Multiply 8% by 10

• Use the formula for compound interest

• Raise the growth factor to the power of 10

• Calculate the growth for each year separately

How do you calculate the yearly percent growth rate if a population increases from 127 to 179 in a year?

• Multiply the initial value by the final value and divide by 100

• Add the initial and final values, divide by 2, and multiply by 100

• Subtract the final value from the initial value, divide by the final value, and multiply by 100

• Subtract the initial value from the final value, divide by the initial value, and multiply by 100

What is the yearly percent growth rate of the wombat population from 127 to 179?

• 10.0%

• 8.0%

• 12.5%

• 5.1%

How do you calculate the decade growth rate from a yearly growth rate?

• Divide the yearly growth rate by 10

• Multiply the yearly growth rate by 10

• Subtract the yearly growth rate from 100

• Raise the yearly growth factor to the power of 10

What is the decade growth rate if the yearly growth rate is 5.1%?

• 100.0%

• 80.0%

• 51.0%

• 64.4%

How do you determine the monthly growth rate from a yearly growth rate?

• Subtract 12 from the yearly growth rate

• Take the 12th root of the yearly growth factor

• Divide the yearly growth rate by 12

• Multiply the yearly growth rate by 12

What is the monthly growth rate if the yearly growth rate is 5.1%?

• 4.1%

• 0.4%

• 1.0%

• 5.1%

How do you calculate the 2-year growth rate from a 5-year growth rate?

• Divide the 5-year growth rate by 2

• Multiply the 5-year growth rate by 2

• Raise the 5-year growth factor to the power of 2/5

• Subtract the 5-year growth rate from 100

What is the 2-year growth rate if the 5-year growth rate is 22%?

• 15.0%

• 20.0%

• 11.0%

• 8.3%