I Can Write a Model for Exponential Growth and Decay from a Context and Table

• A

• B

• C

• D

The table shows the temperature T(m), of a cup of hot chocolate that is allowed to chill over several minutes, m. Which expression best fits the data for T(m)?

• 150(0.85)^m

• 150(1.15)^m

• 150(0.85)^m-1

• 150(0.85)^m+1

Find the equation that matches the table.

• F

• G

• H

• J

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

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

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

The population of Center City is modeled by exponential function f, where x is the number of years after the year 2015. The graph of f is shown on the grid.

• x ≥ 0

• y ≥ 250,000

• 0 ≤ x ≤ 110

• 250,000 ≤ y ≤ 1,000,000

• A

• B

• C

• D

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

• Growth

• Decay

A scientist is studying wildlife. She estimates the population of bats in her state to be 270,000. She predicts the population to grow at an average annual rate of 2.9 percent. Using the scientist’s prediction, create an equation that models the population of bats, y, after x years.

• y = 270(1.29)^x

• y = 1.029(270000)^x

• y = 270000(1.029)^x

• y = 270000(1 + 2.9)^x

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51