Unit 5 Exponential Growth/Decay

Keeping only 70% of your votes means that you are losing __% of your votes.

Mathematical Equivalence

ON

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CCSS.6.RP.A.3C

• the 5

• the x

• both 5 and x

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CCSS.HSF.IF.A.1

f(x) = ​ (a)   (1 +/- ​ (b)   ) ^{^}​ (c)  

• starting point
• rate of change
• time

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CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What does the a in y=a(1+r)^x represent? (choose two)

• Time

• Rate

• Slope

• Starting Amount

• y-intercept

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CCSS.HSF-IF.C.8B

James' begins with $70 in an account that doubles in size each week. Write an expression that would represent how big the account is after 5 weeks.

• 70(2)³⁵
• 70(2)⁵
• 2(70)⁵
• 5(70)²

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CCSS.HSF.BF.A.2

Suppose a culture of bacteria begins with 5000 cells but 30% die each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

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CCSS.HSF.LE.A.2

Tina has $500 and saves $100 per week: This is a/an ​ (a)   function.

Keysha invests $500 and earns 2% interest per month. This is a/an ​ (b)   function.

• linear
• exponential

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CCSS.8.F.A.3

A 78 gram sample of Uranium loses 40% of its mass each year.  What is the exponential equation? 

• y=78(0.40)^x

• y=78(0.60)^x

• y=78(2)^x

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CCSS.HSF.LE.A.2

​ Sort into the categories:

Groups:

(a) Increase

,

(b) Decrease

• y=500(0.98)^x

• appreciate

• y=500(1.02)^x

• y=-200(1+0.03)^x

• depreciate

• y=-200(1-0.03)^x

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CCSS.HSF-IF.C.8B

If you have $10, and your money doubles every year, how much money will you have in 10 years? Tip: use

StartingPoint(1 +/- roc)^time

• $14340

• $9380

• $5120

• $10240

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CCSS.HSF-LE.A.1C