Exponential Growth and Decay Review

Is the equation y = 3(1.2)^x exponential growth or decay?

• decay

• growth

Tags

CCSS.HSF-IF.C.8B

Which of the following graphs is exponential decay?

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Tags

CCSS.HSF-IF.C.7E

Which of the following equations shows an initial value of 21 and is an exponential growth?

• $y=21\left(0.85\right)^x$

• $y=21\left(1.13\right)^x$

• $y=15\left(1.21\right)^x$

• $y=100\left(0.21\right)^x$

Tags

CCSS.HSF.LE.A.2

If f(x) = 30(2)^x what is f(2)?

• 120

• 3600

• 60

• 32

Tags

CCSS.HSF-IF.C.8B

A boat is bought for $11,090. The value of the boat depreciates (decreases) 5% every year. What will the value of the boat be in 10 years?

• $10,535.50

• $18,064.44

• $105,355

• $6,639.99

Tags

CCSS.HSF.BF.A.2

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

Which of the following is an example of exponential growth?

• y = 5(.5)^x

• y = .2(.8)^x

• y = .2(6)^x

• y = 50(.9)^x

Tags

CCSS.HSF-IF.C.8B

Which graph represents exponential decay?

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• 
• 

Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF.LE.A.2

What is the rate of growth for this equation below?

y = 300(1.16)^x

• 300

• 1.16

• .16

• .016

Tags

CCSS.HSF-IF.C.8B