Exploring Exponential Growth and Decay Functions

What does the variable 'a' represent in the exponential growth and decay equations?

• The ending amount

• The rate of growth or decay

• The time period

• The initial amount

How do you convert a percentage rate to a decimal for use in the equations?

• Move the decimal point two places to the left

• Move the decimal point two places to the right

• Multiply by 100

• Divide by 1000

What does the base (1 + r) represent in the exponential growth equation?

• The decay factor

• The growth factor

• The initial amount

• The ending amount

If the base of an exponential function is greater than 1, what does it indicate?

• Constant rate

• No change

• Growth

• Decay

In Example 1, what is the rate of growth for the investment?

• 0.04

• 0.4

• 4

• 0.004

How much will the investment be worth after three years in Example 1?

• $2,073.60

• $2,249.73

• $2,000.00

• $2,400.00

In Example 2, what is the initial number of pond lilies?

• 25

• 40

• 153

• 2000

What is the growth rate per month for the pond lilies in Example 2?

• 0.70

• 0.25

• 0.04

• 0.05

In Example 3, what is the rate of decay for the trees per year?

• 0.04

• 0.70

• 0.25

• 0.05

How many trees will remain in the park after 10 years in Example 3?

• 500

• 599

• 950

• 1000