Unit 6 Test Review

The function f(x) = 5,000(0.972)^x , where x is the time in years, models a declining lemming population. How many lemmings will there be in 6 years?

• About 30,006 lemmings

• About 29,160 lemmings

• About 5,001 lemmings

• About 4,217 lemmings

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The function f(x) = 3,000(0.994)^x , where x is the time in years, models a declining feral cat population. How many feral cats will there be in 5 years?

• About 15,005 feral cats

• About 2,911 feral cats

• About 3,001 feral cats

• About 14,910 feral cats

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Tell whether the set of ordered pairs satisfies an exponential function. Explain your answer.

{(1,-6), (2,-18), (3, -54), (4,-162)}

• Exponential function.

  As the x-values are increased by a constant amount, the y-values increase by the same

  amount.

• Exponential function.

  As the x-values are increased by a constant amount, the y-values are multiplied by a

  constant amount.

• Not an exponential function.

  As the x-values are increased by a constant amount, the y-values are not multiplied by a

  constant amount.

• Not an exponential function.

  As the x-values are increased by a constant amount, the y-values increase by the same

  amount.

Tags

CCSS.HSF.LE.A.1

Tell whether the set of ordered pairs satisfies an exponential function. Explain your answer.

{(1,-3), (2,-9), (3,-27), (4,-81)}

• Not an exponential function.

  As the x-values are increased by a constant amount, the y-values are not multiplied by a

  constant amount.

• Exponential function.

  As the x-values are increased by a constant amount, the y-values increase by the same

  amount.

• Not an exponential function.

  As the x-values are increased by a constant amount, the y-values increase by the same

  amount.

• Exponential function.

  As the x-values are increased by a constant amount, the y-values are multiplied by a

  constant amount.

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Graph y = 3(2)^x .

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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.2

Graph y = –(4)^x.

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Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Graph y = 2(0.4)^x

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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

In the year 2000, the population of Mexico was about 100 million, and it was growing by 1.53% per year. At

this growth rate, the function f(x) = 100(1.0153)^x gives the population, in millions, x years after 2000. Using

this model, in what year would the population reach 111 million? Round your answer to the nearest year.

• 539

• 2008

• 2009

• 2007

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.4

The value of a gold coin picturing the head of the Roman Emperor Vespasian is $105. This value is

increasing at a rate of 10% per year. Write an exponential growth function to model this situation. Then find

the value of the coin in 11 years.

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Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

The value of a gold coin picturing the head of the Roman Emperor Vespasian is $145. This value is increasing at a rate of 11% per year. Write an exponential growth function to model this situation. Then find the value of the coin in 12 years.

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Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2