Growth and Decay C

1. Classify the model as Exponential Growth or Decay. A = 450(.65)^x

• Growth
• Decay

2. Pick the equation that is exponential decay

• y = 200(.63)^x
• y = 9(1.7)^x

3. Pick the equation that is exponential growth

• y = 2(0.5)^x
• y = 0.5(2)^x

4. What is the initial value, for the function: f(x) = 500(3.5)^x

5. Is this graph exponential growth or decay?

• growth
• decay

6. Which of the following functions shows an initial amount of $65 and an increase of 25% each year?

• y=65(.25)^x
• y = 65(.75)^x
• y = 25(.25)^x
• y= 65(1.25)^x

7. What is the decay rate in the following model? A= 300(.6)^8

• .6
• .4
• 8
• -8

8. Write an equation that models the situation. A population of 5000 beetles is too large to sustain and decreases in population each month at a rate of 8%. Write an equation to represent this situation.

9. Twenty years ago, Mr. Davis purchased his home for $160000. Since then, the value of the home has increased about 5% per year. Write an equation to represent this situation.

10. Solve the equation you wrote in #9 to determine the value of the home after 20 years.