Algebra U3 Exponentials

The table represents a certain type of cell reproduction by day.

Write the exponential equation that could be used to find out how many cells were produced on day 15, if the cell growth

continues at this rate.

• y = 3(3)^x

• y = (1/3)^x

• y = 2^x

• y = 3^x

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CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Which 2 situations represent an EXPONENTIAL function?

• Snow was

  melting at a rate

  of 2.5 inches

  per hour

• Money invested

  in a savings

  account grows

  at an annual

  rate of 3.4%

• A coin collection

  appreciates at a

  rate of 17% per

  year

• A music service

  has a fixed

  monthly cost

  and charges

  $0.20 for each

  downloaded

  song

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CCSS.HSF.LE.A.1

A new car was purchased for $52,350. The value of the car depreciates at a rate of 5% per year.

Which function models the car's value over time?

• y = 52,350 (5)^t

• y = 52,350 (0.95)^t

• y = 52,350 (0.05)^t

• y = 52,350 (1.05)^t

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CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Match the situation with the correct function.

• f(t) = 8000(0.5)^t

• $5,000 is placed in a savings account with an annual interest rate of 3.3%.

• f(t) = 5000(0.967)^t

• A town with a population of 8000 doubles in size

• f(t) = 8000(2)^t

• In a lab experiment, a population of 8000 bacteria is halved every year

• f(t) = 5000(1.033)^t

• A ghost town has a population of 5000 and declines at a rate of 3.3% each year

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A company purchases a new machine for $4,000. The value of the machine depreciates at a

rate of 10 percent each year. Which function models the machine's value over time?

• y = 4000 (10)^t

• y = 4000 (0.9)^t

• y = 4000 (1.1)^t

• y = 4000 (0.1)^t

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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

A company purchases a new machine for $4,000. The value of the machine depreciates at a

rate of 10 percent each year. What's the value of the machine after 4 years?

• $2,624.40

• $5,856.40

• $0.40

• $2,897.40

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

In cell reproduction, there are 2 cells present after day 1; 4 after day 2; 8 after day 3 and so on.

Write an exponential equation that could be used to find out how many cells there will be on the

nth day.

• y=2x

• y=(1/2)^x

• y=2^x

• y=2(2)^x

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CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

A laboratory is studying the growth of a bacterial culture. The number of bacteria B(t) in the

culture after t hours can be modeled by the exponential equation B(t) = 100 ∙ 2^t .

Calculate B(-2). Does this relate to the context of the problem?

• -400;

  Yes, this is the number of bacteria after -2 years

• -400;

  No, time can't be negative

• 25;

  No, time can't be negative

• 25;

  Yes, this is the number of bacteria after -2 years

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.B.5

The graphed function is exponential with an asymptote of 2.

Which function has the same end behavior as x approaches negative infinity?

• f(x) = 2(0.8)^x + 2

• f(x) = 0.5(1.2)^x + 2

• f(x) = 0.2(0.75)^x + 3

• f(x) = 3(1.5)^x

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

A new cell phone model is released, and the number of units sold increases exponentially over

time. The function S(t) = 500(1.2)^t models the number of cell phones sold t months after the

release.

How many cell phones are sold after 3 months?

What does S(0) represent?

• 1800;

  No cell phones have been sold

• 864;

  No cell phones have been sold

• 1800;

  Initial number of cell phones sold

• 864;

  Initial number of cell phones sold

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5