Exploring Exponential Models #2

Exploring Exponential Models #2

3/1-3/2

A2.F.LE.A1

A2.F.LE.B.3

Multiple Choice

Which of the following statements is true about exponential decay?

• If a > 0 and 0 < b < 1, then Exponential Decay

• If a < 0 and 0 < b < 1, then Exponential Decay

• If a > 0 and b > 1, then Exponential Decay

• If a < 0 and b > 1, then Exponential Decay

Multiple Choice

Which of the following statements is true about exponential growth?

• If a > 0 and b > 1, then Exponential Growth

• If a < 0 and b > 1, then Exponential Growth

• If a > 0 and 0 < b < 1, then Exponential Growth

• If a < 0 and 0 < b < 1, then Exponential Growth

Multiple Choice

Which of the following equations represent exponential growth?

• $y=6\left(\frac{4}{3}\right)^x$

• $y=8\left(\frac{3}{9}\right)^x$

• $y=5\left(.33\right)^x$

• $y=2\left(-9\right)^x$

Multiple Choice

as the value of x increases, the value of y increases.

• Exponential Function

• Exponential Growth

• Exponential Decay

• Asymptote

Multiple Choice

Is this exponential growth or decay?

• Growth

• Decay

Multiple Choice

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Multiple Choice

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72

• $136.72

• $51,710.94

• $16,710.94