Create and Interpret Exponential Functions to Solve Problems

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

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

• Y-INTERCEPT (also the initial amount)

• GROWTH OR DECAY FACTOR

What is the initial amount, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

If y = ab^x represents an exponential growth function, what are the possible values of b?

• b = 1

• b > 1

• b < 0

• 0 < b < 1

If y = ab^x represents an exponential decay function, what are the possible values of b?

• b = 1

• b > 1

• b < 0

• 0 < b < 1