Application of the Exponential Function

Most automobiles depreciate as they get older. Suppose an automobile that originally costs $14,000 depreciates by 20% of its value every year. 
What exponential equation can we create to model this situation?

• y=14000(.20)^x
• y=14000(.80)^x
• y=14000(1+.20)^x
• y=14000(1+.80)^x

Tags

CCSS.HSF.LE.A.2

Most automobiles depreciate as they get older. Suppose an automobile that originally costs $20,000 depreciates by 28% of its value every year.  What is the half-life of this automobile?

• 2 years
• 3 years
• 1/2 years
• 2.11 years

Most automobiles depreciate as they get older. Suppose an automobile that originally costs $14,000 depreciates by 20% of its value every year. 
What is the value of this automobile after 5 years?

• $264,539.52
• $4.48
• $4,587.52
• $34,836.48

Tags

CCSS.HSF.BF.A.2

A sculpture is increasing in value at a rate of 9% per year, and its value in 2000 was $1500. Write an exponential growth function to model this situation.

• f(t)=1500(1.09)^t
• f(t)=1500(0.09)^t
• f(t)=2000(0.09)^t
• f(t)=1500(9)^t

Tags

CCSS.HSF.LE.A.2

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

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

Interpret the meaning of the values "a" and "b"

• a =1.023, b=125,500

• a is the initial number of subscribers, b is the rate at which the subscribers decrease.

• a is the rate at which the subscribers increase, b is the initial number of subscribers.

• a is the initial number of subscribers, b is the rate at which the subscribers increase.

Tags

CCSS.HSF.LE.B.5

Is this exponential growth or decay? (choose all that apply) r is rate of increase or decrease

• Growth

• Decay

• (1-r)

• (1+r)

Tell wether this function represents growth or decay. (choose all that apply) r is rate of increase/decrease

• Growth

• Decay

• (1-r)

• (1+r)

Which does the graph represent?

• Growth

• Decay

Tags

CCSS.HSF-IF.C.7E