ZAP 2 April 2023 Algebraic Reasoning

Which ONE of the following equations represents exponential decay?

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CCSS.HSF-LE.A.1A

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

• 400 milligrams

• 344 milligrams

• 89 milligrams

• 11 milligrams

Which equation represents exponential decay?

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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

A 12 inch candle starts to shrink as it melts. It decreases in height by 3% each hour that it burns. Calculate the height of the candle after 4 hours.

• 0.88 inches

• 0.00000972 inches

• 10.62 inches

• 7.78 inches

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CCSS.HSF.BF.A.2

You buy a car for $4800. The car depreciation rate is 14.7% annually. Which equation models how much the car would be worth after t years?

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CCSS.HSF.LE.A.2

A 78 gram sample of Uranium loses half of its mass each year.  How much is left after 6 years?

• 13 grams
• 6.5 grams
• 1.22 grams
• 592.31 grams

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CCSS.HSF.LE.A.4

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

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CCSS.HSF.LE.A.2

Give the rate of decay:
y = 35(0.65)^x

• 35%
• 65%
• .35%
• 165%

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CCSS.HSF-IF.C.8B