HW 6.4 - Exponential Growth and Decay Word

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(1-0.14)^x

• y=6(1+14)^x

• y=6(1+0.14)^x

• y=6(114)^x

Tags

CCSS.HSF.LE.A.2

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

A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation? 

• y=78(0.5)^x
• y=78(1.5)^x
• y=78(2)^x

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(1- 0.3)^x

• y=30(5000)^x

• y=5000(30)^x

• y=5000(.30)^x

Tags

CCSS.HSF.LE.A.2

What does the a in y=a(1+r)^x  represent?

• Time
• Rate
• Slope
• Initial Amount

Tags

CCSS.HSF.LE.B.5

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

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

Tags

CCSS.HSF.BF.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(1-0.30)^x

• y=30(5000)^x

• y=5000(1+0.3)^x

• y=5000(.30)^x

Tags

CCSS.HSF.LE.A.2

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. Which equation models how much will the printer be worth in 8 years?

•  $y=35,000\left(1-0.05\right)^8$ 

•  $y=35,000\left(5\%\right)^8$  
  

•  $35,000\ =\ 8\left(1-0.05\right)^t$  
  

•  $y=35,000\left(1+0.05\right)^8$