Exponential Function Review

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

Identify the y-intercept (initial value) in the function:

y = 13(.27)^x

• (.27)^x

• .27

• 13

• 3.51

Tags

CCSS.HSF.LE.B.5

Does the graph in the picture above represent exponential growth, exponential decay, a linear equation, or neither of these?

• Growth

• Decay

• Linear

• None

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

• $11,625

• $6994.77

• $21,477

• $875

Tags

CCSS.HSF.BF.A.2

Denise has $80 in a savings account that earns 10% annual interest.

To the nearest cent, how much will she have in 3 years?

• $106.48

• $26.48

• $8

• $104

Tags

CCSS.HSF.BF.A.2

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

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

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

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 = 5000(.3)^x

Which the following graphs shows an exponential decay equation?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Use the function, M =.05(2)^t, where M is the amount of money you have after t days.

How much money will you have after 14 days?

• $ 819.20

• $ 8,192.00

• $ 1.40

• $ 819.02

Tags

CCSS.HSF.LE.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What type of function is this?

• quadratic

• absolute value

• linear

• exponential

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7