6.3 - Exponential Decay

Which ONE of the following equations represents exponential decay?

• $y=45\left(3\right)^x$

• $y=225\left(1.08\right)^x$

• $y=10,000\left(\frac{8}{3}\right)^x$

• $y=90\left(0.78\right)^x$

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CCSS.HSF-IF.C.8B

Which graph shows exponential decay?

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CCSS.HSF-IF.C.7E

A population of humpback whales has 6,500 whales. Their population is declining such that only 94% of the number of whales remain from the year before. Choose the equation that matches this situation:

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CCSS.HSF.LE.A.2

Someone drops a basketball from a height of 10 feet. Each time it bounces, the bounce height decreases by 1/3. Which statement is correct?

• The decay rate is 1/3

  and the decay factor is 2/3

• The decay rate is 2/3

  and the decay factor is 1/3

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CCSS.HSF.BF.A.2

Which table shows exponential decay?

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CCSS.HSF-LE.A.1A

Mrs. Reese is spending her retirement funds pretty quickly. Her account has $800,000 but she spends 1/4 of the money each year. Choose an equation that shows her current amount after x years:

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CCSS.HSF.LE.A.2

• 400 milligrams

• 344 milligrams

• 89 milligrams

• 11 milligrams

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CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

What is the starting value from the table?

• 1620

• 180

• -2

• 0

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CCSS.HSF.LE.B.5

Which equation represents exponential decay?

• $y=-600\left(1.5\right)^x$

• $y=4900\left(\frac{2}{3}\right)^x$

• $y=20\left(6\right)^x$

• $y=1\left(2\right)^x$

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CCSS.HSF-LE.A.1A

The population of Townville is decreasing at a rate of 6% each year. If the starting population was 7,000 what equation represents the current population after x number of years?

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CCSS.HSF.LE.A.2