Exponential Functions

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.

(HINT: Write out the equation on a separate piece of paper and then simplify inside the parenthesis)

• 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

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Write an equation to represent the situation:

Tags

CCSS.HSF-BF.A.1A

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

What is the initial value?

• $35,000

• 0.05

• 1.05

• 0.95

Tags

CCSS.HSF-LE.A.1C

Is this exponential growth or decay?
y = 7(1.2)^x

• Growth, because of 7
• Decay, because of 1.2
• Growth because of 1.2
• Decay because of 7

Tags

CCSS.HSF-IF.C.8B

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 initial value?

• 0
• 3
• 33
• 66

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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

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%.

What would go in the parenthesis for this problem? BEFORE SIMPLIFYING

• (1 + 0.29)

• (1 - 0.29)

• (1 - 0.71)

• (1 + 0.71)

Tags

CCSS.HSF.BF.A.2

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $361,223.09

• $15,000.00

• $31,500.29

• $280,500.86

Tags

CCSS.HSF-LE.A.1C

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(0.92)^x

• y=15,000(1.08)^x

• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2