Growth and Decay Rates Concepts

The video tutorial explains how to determine growth and decay rates from given factors. It starts by introducing the concept of growth and decay in exponential functions, then demonstrates how to identify growth factors by subtracting one from the factor and converting the result into a percentage. The tutorial also covers identifying decay factors by recognizing factors less than one and using a similar process to find the decay rate. The video emphasizes checking calculations by reversing the process to ensure accuracy.

What is the goal when converting a growth factor to a growth or decay rate?

• To find the final value

• To find the initial value

• To find the percentage rate

• To find the time period

What is the starting point in the process of finding the growth or decay rate?

• The initial value

• The final value

• The time period

• The entire factor

In the formula for growth, what does the growth factor equal?

• 1 minus the rate

• The initial value

• The rate

• 1 plus the rate

If the growth factor is 1.345, what is the growth rate as a percentage?

• 34.5%

• 134.5%

• 13.45%

• 3.45%

How can you verify the calculated growth rate?

• By recalculating the growth factor

• By checking the initial value

• By recalculating the final value

• By checking the time period

What indicates that a factor is a decay factor?

• It is less than one

• It is a negative number

• It is greater than one

• It is equal to one

In the formula for decay, what does the decay factor equal?

• The rate

• 1 plus the rate

• 1 minus the rate

• The initial value

If the decay factor is 0.88, what is the decay rate as a percentage?

• 12%

• 8.8%

• 88%

• 0.12%

What is the final step in converting a decay rate to a percentage?

• Subtracting one from the factor

• Multiplying by 100

• Moving the decimal place two positions to the right

• Dividing by the initial value

What should you do if your calculated growth or decay rate does not match the expected value?

• Check your calculations for errors

• Recalculate the time period

• Recalculate the final value

• Recalculate the initial value