Exponential Growth or Decay Given Equations

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?

Tags

CCSS.HSF.LE.A.2

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

Find the decay factor from the given graph.

Tags

CCSS.HSF-IF.C.7E

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-IF.C.8B

What is the equation of this table?

• y=512(1/4)^x

• y=32(4)^x

• y=32(1/4)^x

• y=512(4)^x

Tags

CCSS.HSF.LE.A.2

Write the exponential regression equation for the data.

• Y=8.16(2.7)^x

• Y=81.6(2.7)^x

• Y=8.16(.27)^x

• Y=8.16(27)^x

Tags

CCSS.HSF.LE.A.2

• x > 0
• y > 0
• -∞ < x < ∞
• -∞ < y < ∞

Tags

CCSS.HSF-IF.C.7E

Write the exponential regression equation for this data.

• Y = 8.16(2.7)^X

• Y = 81.6(2.7)^X

• Y = 8.16(.27)^X

• Y = 8.16(27)^X

Tags

CCSS.HSF.LE.A.2

Which of the equations below represent this table?

• y=3⋅(36)^x

• y=36⋅(3)^x

• y=3⋅(⅓)^x

• y=36⋅(⅓)^x

Tags

CCSS.HSF.LE.A.2

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E