Exponential growth and decay applications

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

• y= 7650(.14)³
• y= 7650(.86)³
• y= 7650(1+.86/1)^3*1

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

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 does the model P=A(1+r)^t best represent?

• Exponential growth
• Simple Interest
• Compound Interest
• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

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

In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Centerville in 1994?

• OVERFLOW
• 1994
• 1000
• 43871

Tags

CCSS.HSF-LE.A.1C

A group of yeast cells doubles every 4 hours. There is a population of 100 cells.

Write an exponential equation to represent the number of yeast cells Y(t), after t hours. 

•  $Y\left(t\right)=100\left(\frac{1}{2}\right)^{\frac{t}{4}}$  

•  $Y\left(t\right)=100\left(2\right)^{4t}$  

•  $Y\left(t\right)=100\left(2\right)^{\frac{t}{4}}$  

•  $Y\left(t\right)=2\left(100\right)^{\frac{t}{4}}$  

Tags

CCSS.HSF.LE.A.2

If 10 mg of iodine 131 is given to a patient, how much is left after 24 days? The half-life of iodine-131 is 8 days.

• 1.25mg
• 1.25g
• 10g
• 10mg

Tags

CCSS.HSF.LE.A.4

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

If 10 mg of iodine 131 is given to a patient, how much is left after 27 days? The half-life of iodine-131 is 9 days.

• 5.0mg

• 2.5mg

• 1.25mg

• 10mg

Tags

CCSS.HSF.LE.A.4

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

• y= 7650(.14)³
• y= 7650(.86)³
• y= 7650(1+.86/1)^3*1

Tags

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1