Exponential Growth and Decay

If the decay rate is 20%, which of the following represent the decay factor?

• 0.2

• 0.8

• 1.2

• 1.8

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

If the growth rate is 80%, what is the growth factor?

• 0.2

• 0.8

• 1.2

• 1.8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

 A flea medicine breaks down at a rate of 20% per hour.  This is the rate of decay of the medicine. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

•  $y=60\left(.2\right)^x$  

•  $y=20\left(60\right)^x$  

•  $y=60\left(.8\right)^x$  

•  $y=60\left(1.2\right)^x$  

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The value of a car depreciates exponentially. Identify the decay factor is the car was worth $20,000 initially and worth $15,000 after 1 year.

• 1.33

• 0.75

• 0.66

• 0.25

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Select all the equations that represent exponential decay.

• $y=\frac{1}{2}\left(4\right)^x$

• $y=4\left(\frac{1}{2}\right)^x$

• $y=80\left(1.4\right)^x$

• $y=60\left(0.7\right)^x$

• $y=3\left(0.6\right)^x$

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Penicillin decays exponentially in the human body. Suppose you receive a 300-milligram dose of penicillin to combat strep throat. About 180 milligrams will remain active in your body after 1 day. Which equation represents the amount of penicillin remaining in your body?

• $y=300\left(0.6\right)^x$

• $y=300\left(1.6\right)^x$

• $y=300\left(1.67\right)^x$

• $y=300\left(0.4\right)^x$

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Penicillin decays exponentially in the human body. Suppose you receive a 300-milligram dose of penicillin to combat strep throat. About 180 milligrams will remain active in your body after 1 day. How much penicillin remains after 7 days?

• 0.5 milligrams

• 8.4 milligrams

• 5 milligrams

• 120 milligrams

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Find the decay factor from the given graph.

• $3$

• $1$
  

• $\frac{1}{3}$

• $\frac{1}{9}$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Jack invest $600 earning 5% interest rate. How much will he have after 5 years?

• $630

• $729.30

• $765.77

• $4556.25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which equation represents the given table?

• $y=15\left(1.8\right)^x$

• $y=15\left(0.8\right)^x$

• $y=15\left(1.2\right)^x$

• $y=15\left(0.2\right)^x$

• $y=-3x+15$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2