Exploring Exponential Growth and Decay Functions

What is the primary concept emphasized in the introduction of exponential functions?

• Comparing values to 100%

• The importance of using correct units

• Solving equations quickly

• Understanding the base of natural logarithms

What does the initial value represent in the context of exponential functions?

• The multiplier's base value

• The value before any changes occur

• The percentage increase or decrease

• The final expected value

In the fruit fly population model, what does the multiplier 1.205 represent?

• A 20.5% increase per hour

• The initial population of fruit flies

• A 120.5% total population

• A 20.5% decrease per hour

How do you calculate the new multiplier from a percentage increase?

• Add the percentage to 100 and convert to a decimal

• Divide the percentage by 100

• Multiply the percentage by 100

• Subtract the percentage from 100

After nine days, how much water remains in the pool according to the model?

• 40 feet

• 28 feet

• 2 feet

• 72 feet

What does a multiplier less than 1 indicate in an exponential function?

• A decrease in value

• The function is invalid

• An increase in value

• No change in value

In the beetle population example, what does the 0.98 multiplier signify?

• 2% decrease each year

• 2% increase each year

• No change each year

• 98% increase each year

How is the initial value of 500 beetles used in the context of the function?

• As a rate of change

• As a percentage

• As a starting count of beetles

• As a multiplier

What does the 1.018 multiplier indicate about the property's value?

• It remains constant

• It increases by 1.8% each year

• It increases by 18% each year

• It decreases by 1.8% each year

What is the initial value of the home in the property value growth example?

• $1,200,000

• $101,800

• $1,018

• $120,000