Exponential Functions Card Sort - Unit 6

Determine if the fucntion is growth or decay.

Groups:

(a) Growth

,

(b) Decay

• y = 400(0.99)^x

• y = 15(3)^x

• y = 500(0.975)^x

• y = 400(1.03)^x

• y = 500(1.065)^x

• y = 3000(.99)^x

• y = 400(0.95)^x

• y = 200(1.0325)^2x

• y = 500(1.025)^x

• y = 200(1.0025)^12x

• y = 15(1.3)^x

• y = 3, 000(1.0025)^4x

• y = 15(1.03)^x

Tags

CCSS.HSF-IF.C.8B

Matching each Exponential Equations to its Verbal Expression

• y = 200(1.0025)^12x

• $200 is used to open an account that earns 6.5% interest compounded semiannually.

• y = 3000(.99)^x

• $200 is deposited into an account that earns 3% interest compounded monthly.

• y = 200(1.0325)^2x

• A savings account with a balance of $3,000 has a 1% interest rate that is compounded quarterly.

• y = 3, 000(1.0025)^4x

• Raymee purchased a used car for $3000. Based on Kelly Blue Book the car will depreciate 1% each year.

Matching each Exponential Equations to Graph, Table, and Key Features

y = 3, 000(1.0025)^4x, y = 200(1.0325)^2x, y = 200(1.0025)^12x, y = 3000(.99)^x

Groups:

(a) y = 3, 000(1.0025)^4x

,

(b) y = 200(1.0325)^2x

,

(c) y = 200(1.0025)^12x

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(d) y = 3000(.99)^x

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• y = 225.47

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• y = 2940.3

Tags

CCSS.HSF.LE.A.2

Matching each Exponential Equations to its Verbal Expression

• y = 500(1.025)^x

• In 2010, 500 students attended West Elementary School. Since then, the number of students attending has increased by 2.5% each year.

• y = 500(1.065)^x

• Karina buys 30 shares of a stock for a total value of $500. Over the past 10 years, the total value of the stock has depreciated 2.5% annually

• y = 500(0.975)^x

• The value of an early American coin increases at the rate of 6.5% annually. The purchase price of the coin this year is $500.

Tags

CCSS.HSF.LE.A.2

Matching each Exponential Equations to Graph, Table, and Key Features

y = 500(1.025)^x, y = 500(

1.065)^x, y = 500(0.975)^x

Groups:

(a) y = 500(1.025)^x

,

(b) y = 500(1.065)^x

,

(c) y = 500(0.975)^x

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Tags

CCSS.HSF.LE.A.2

Matching each Exponential Equations to its Verbal Expression

•  y = 15(1.03)^x

• A fundraiser that started with an initial donation of $15 has been tripling in total funds every week.

• y = 15(3)^x

• An image that is 15 square inches is enlarged over and over again by 130% via a copy machine.

• y =15(1.3)^x

• A particular strain of bacteria has a population of 15 in a petri dish. The bacteria shows a growth rate of 3% every hour.

Tags

CCSS.HSF.LE.A.2

Matching each Exponential Equations to Graph, Table, and Key Features

y = 15(1.3)^x, y = 15(1.03)^x, y = 15(3)^x

Groups:

(a) y = 15(1.3)^x

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(b) y = 15(1.03)^x

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(c) y = 15(3)^x

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• y = 15

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Tags

CCSS.HSF.LE.A.2

Matching each Exponential Equations to its Verbal Expression

• y = 400(0.95)^x

• A savings account starts with $400, earns interest 3% per year, compounded annually.

• y = 400(0.99)^x

• In 2000, 400 retail stores were open for business in a certain town. Each year since, 1% of the stores have gone out of business.

• y = 400(1.03)^x

• Jan deposited $400 into an account and every month she spent 5% of the balance.

Tags

CCSS.HSF.LE.A.2

Matching each Exponential Equations to Graph, Table, and Key Features

y = 400(0.99)^x, y = 400(1.03)^x, y = 400(0.95)^x

Groups:

(a) y = 400(0.99)^x

,

(b) y = 400(1.03)^x

,

(c) y = 400(0.95)^x

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• x = 1, y = 412

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• x = 2, y = 424.36

• y = 380

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• x = 5, y = 463.71

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• y = 388.12

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• x = 8, y = 506.71

Tags

CCSS.HSF-IF.C.7E