Understanding Exponential Growth Concepts

This lesson teaches how to write exponential growth functions by interpreting percent increases as growth factors. It explains exponential growth through examples, such as bacteria doubling weekly and savings account interest. The lesson covers defining variables, forming equations, and understanding percent increases as growth factors.

What does it mean when a population doubles each week?

• The population remains constant.

• The population adds two more each week.

• The population multiplies by two each week.

• The population increases by 50% each week.

In the equation y = 25 * 2^x, what does the number 25 represent?

• The number of weeks

• The final population

• The initial value

• The growth factor

What does the x variable represent in the equation y = 25 * 2^x?

• The number of time periods

• The growth factor

• The initial population

• The final population

In the context of exponential growth, what does the y variable represent?

• The initial value

• The growth factor

• The amount of the growing quantity

• The number of time periods

How is a percent increase interpreted in terms of growth factor?

• As a division of the original amount

• As an addition to the original amount

• As a multiplication by the percent

• As a decrease in the original amount

What does a 3% growth factor mean in terms of your original amount?

• You have 3% of your original amount.

• You have 1.03 times your original amount.

• You have 0.03 times your original amount.

• You have 3 times your original amount.

How do you calculate the growth factor for a 3% increase?

• Divide by 3

• Subtract 0.03 from 1

• Add 0.03 to 1

• Multiply by 3

If a savings account offers 2% interest per year, what is the growth factor?

• 1.02

• 0.02

• 2.00

• 1.20

What is the initial amount in the savings account example?

• $300

• $400

• $200

• $500

What is the purpose of defining variables in an exponential growth equation?

• To confuse the reader

• To make the equation longer

• To change the growth factor

• To clarify what each variable represents