Growth and Decay A

1. Classify the model as Exponential Growth or Decay. A = 400(1.35)^x

• Growth
• Decay

2. Pick the equation that is exponential growth

• y = 2(1.5)^x
• y = 0.5(.2)^x

3. Pick the equation that is exponential decay

• y = 100(0.25)^x
• y = 0.5(1.6)^x

4. Is this exponential growth or decay?

• growth
• decay

What is the initial value, for the function: f(x) = 2000(1.05)^x

6. Which of the following functions shows an initial amount of $45 and an increase of 20% each year?

• y = 45(20)^x
• y = 20(0.45)^x
• y = 45(.2)^x
• y = 45(1.2)^x

7. What is the decay rate in the following model? A= 500(.7)^5

• .3
• 5
• -5
• -.7

8. Write an equation that models the situation. Daniel's Print Shop purchased a new printer for $35000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

9. Solve the equation you wrote in #8 to determine how much the printer is worth.

10. The number of mosquitoes at the beginning of the summer was 3,0000. The population of mosquitoes is expected to grow at a rate of 15% a month. How many mosquitoes will there be after 6 months?