Interpret Parts of an Exponential

Describe this function.

• Exponential Growth

• Exponential Decay

• Linear Positive

Describe the function.

• Exponential Growth

• Exponential Decay

• Linear

Which scenario best matches the expression 12(1.015)^t

• A population of elephants begins with 12 elephants in a wildlife refuge 1975. The elephants increase in number by 1.5% each yaer.
  

• A population of elephants begins with 12 elephants in a wildlife refuge 1975. The elephants decrease in number by 1.5% each yaer.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

• The predicted increase in number of elephants in the refuge each year.

• The predicted decrease in number of elephants in the refuge each year.

• The number of years it will take for the elephant population to stop increasing.

• The initial amount of elephants in the park.

In an exponential function, what does the 'b' represent? 

• SLOPE

• GROWTH FACTOR

• Y-INTERCEPT

• EXPONENT

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

The amount of ants in a colony, f, that is decaying can be modeled by                         f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose           f(20) = 49. Which of the following is true?

• After 20 days, there are 49 ants in the colony.

• After 49 days there are 20 ants in the colony.

• The amount of ants times 20 is 49.

• After 20 days the amount of ants remaining decreases by 49.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x