Exponential Growth and Decay Formulas

How is the exponential growth formula different from the exponential decay formula?

• They are not different.

• Exponential Growth requires you to multiply. Exponential Decay requires you to divide.

• Exponential Growth requires you to subtract your rate of increase. Exponential Decay requires you to add your rate of decay.

• Exponential Growth requires you to add your rate of increase. Exponential Decay requires you to subtract your rate of decay.

What does "t" represent in both of the formulas to calculate exponential growth and decay?

• Three

• Time

• Two

• Total

What does "r" represent in both of the formulas to calculate exponential growth and decay?

• Radical

• Regular

• Real Time

• Rate of Decay/Growth

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

(Hint: Remember to change the percent to a decimal.)

• 14327

• 4309

• 839

• 7680

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

A population of fish starts at 8,000 and decreases by 6% per year. Write the exponential function that models this situation.

y = ​ (a)   (​ (b)   )^x

• 0.06

• 6

• 1.06

• 8000

• 0.94

• 480

Match each formula on the right

to the situation in which you would use it.

a

b

c

d

Basic Exp Growth Equation

Compound Interest Formula

Continuously Compounding Interest

Basic Exp Decay Equation

Determine whether the following exponential function represents a growth or decay.

• Growth

• Decay

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee