Exponential Growth & Decay

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(14)^x

• y=6(1.14)^x
• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF-IF.C.8B

Classify the model as Exponential GROWTH or DECAY.

y=1200(.85)^x

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF.LE.B.5

Suppose a culture of bacteria begins with 5000 cells and dies by 30% 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

Tags

CCSS.HSF.LE.A.2

What does the a in y=ab^x  represent?

• Time
• Rate
• Slope
• Initial Amount

Tags

CCSS.HSF-IF.C.8B

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

Tags

CCSS.HSF.LE.A.2

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth
• Linear
• Exponential Decay
• None of the Abovee

Tags

CCSS.HSF-IF.C.8B

What is the decay rate in the following model?

A=1200(.85)^x

• 1200

• 15%

• 85%

• x

Tags

CCSS.HSF-IF.C.8B

What is the decay factor in the following model?

A=1200(.85)^x

• 1200
• -.15
• .85
• x

Tags

CCSS.HSF-IF.C.8B