U5p11: Applications of Exponential Functions

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.
• The amount of grams the material is losing.
• The amount of grams remaining after so many years.
• The initial amount of grams.

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CCSS.HSS.ID.C.7

• The graph represents an exponential growth situation.
• Eventually, the car will be worth exactly $0.
• The starting value of the car was $12,000.
• The range for the situation is y ≥ 0.

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

• x > 0
• y > 0
• -∞ < x < ∞
• -∞ < y < ∞

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CCSS.HSA.REI.D.10

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• f(x) = 35(0.95)^x
• f(x) = 36(0.05)^x
• f(x) = 35(1.05)^x
• f(x) = 36(1.5)^x

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CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

• The graph of this situation represents exponential decay.
• The range of this function is y > 0.
• There is a horizontal asymptote at y = 0 for this situation.
• The y-intercept is (0, 230).

A stamp gets more expensive each year.  It increases in value by 60 % each year.  What is the growth FACTOR?

• .6
• 1.06
• 1.6
• .4

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CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

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CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

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CCSS.HSF.BF.A.2

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72
• $136.72
• $51,710.94
• $16,710.94

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CCSS.7.RP.A.3

Identify the percent (%) increase or decrease for the following function.

f(x) = 35 (1 – 0.06)^x

• Increase by 6%

• Decrease by 0.06%

• Increase by 0.06%

• Decrease by 6%

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CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1