Exponential Growth and Decay Problem Solving

What does exponential growth model in real-life situations?

• An increase by a fixed percentage each year

• An increase by a variable percentage each year

• A decrease by a variable percentage each year

• A decrease by a fixed percentage each year

What symbol represents the initial amount in the exponential growth formula?

• R

• A

• Y

• T

How is the growth factor calculated for exponential growth?

• 1 + R

• A + R

• 1 - R

• A - R

What does 'R' represent in the exponential growth and decay formulas?

• The initial amount

• The final amount

• The rate of change as a decimal

• The rate of time

What was the projected growth rate of the US population per decade?

• 10%

• 12%

• 8%

• 5%

How many decades after 1990 is the year 2010?

• 4

• 1

• 3

• 2

How is the year 2025 represented in terms of decades after 1990?

• 4 decades

• 2.5 decades

• 3.5 decades

• 3 decades

What is the decay factor in the caffeine example?

• 0.15

• 0.95

• 1.15

• 0.85

How much caffeine remains after 1 hour, according to the example?

• 25.0 milligrams

• 15.0 milligrams

• 30.0 milligrams

• 52.7 milligrams

What is the correct formula for exponential decay?

• Y = A/R^T

• Y = A(1 - R)^T

• Y = A + RT

• Y = A(1 + R)^T