Unit 7 quiz

Which situation could be modeled by using a linear function?

• a bank account balance that grows at a rate of 5% per year, compounded annually

• a population of bacteria that doubles every 4.5 hours

• the cost of cell phone service that charges a base amount plus 20 cents per minute

• the concentration of medicine in a person’s body that decays by a factor of one-third every hour

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which scenario represents exponential growth?

• A water tank is filled at a rate of 2 gallons/minute.

• A species of fly doubles its population every month during the summer.

• A vine grows 6 inches every week.

• A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.B.5

Which of the three situations given below is best modeled by an exponential function?

I. A bacteria culture doubles in size every day.

II. A plant grows by 1 inch every 4 days.

III. The population of a town declines by 5% every 3 years.

• I, only

• II, only

• I and II

• I and III

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Sheba opened a retirement account with $36,500. Her account grew at a rate of 7% per year compounded annually. She made no deposits or withdrawals on the account. At the end of 20 years, what was the account worth, to the nearest dollar?

• $87,600

• $130,786

• $141,243

• $1,483,444,463

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

Which type of function is graphed above?

• linear

• quadratic

• absolute value

• exponential

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CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which graph represents a linear function?

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Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which graph represents the exponential decay of a radioactive element?

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Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which table of values represents a linear relationship?

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Tags

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

Write and solve an exponential function to model the situation and find the population after the given time. Round to the nearest whole number.

2 million initial population; 4% annual decrease; 3 years

• y = 2,000,000 (0.96)^x

  Answer: 1,769,472

• y = 2,000,000 (1.04)^x

  Answer: 2,163,200

• y = 2,000,000 (0.96)^x

  Answer: 1,843,200

• y = 2,000,000 (1.04)^x

  Answer: 2,249,728

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1