Alg Spiral #6 - Exponentials

Categorize the equations, tables, & graphs as Growth or Decay.

Groups:

(a) Growth

,

(b) Decay

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Tags

CCSS.HSF-LE.A.1A

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(.97)^x
• f(x)=400(1-0.03)^x
• f(x)=400(1.03)^x
• f(x)=400(0.03)^x

Tags

CCSS.HSF.LE.A.2

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1.08)^x
• y=15,000(0.92)^x
• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

What is the growth factor for the equation?

y = 200(1.8^x)

• 200

• 1.8

• 80%

Tags

CCSS.HSF-IF.C.8B

What is the growth rate for the equation?

y = 200(1.8^x)

• 200

• 1.8

• 80%

Tags

CCSS.HSF-IF.C.8B

Sally invests $750 dollars into a bank that pays 7% interest.

What is the growth factor?

• 750

• 1.7

• 1.07

• 7%

Tags

CCSS.HSF-IF.C.8B

Sally invests $750 dollars into a bank that pays 7% interest.

What is the growth rate?

• 750

• 1.7

• 1.07

• 7%

Tags

CCSS.HSF-IF.C.8B

A new savings account is opened with $400 and gains 3% every year. What is/are the exponential function(s) to model this situation?

• f(x)=400(1+3)^x

• f(x)=400(1.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x

Tags

CCSS.HSF.LE.A.2

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

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

• y=78(0.5)^x
• y=78(1.5)^x
• y=78(2)^x

Tags

CCSS.HSF.LE.A.2