Exponential Models

Match the following functions with their key words

• Continuous

  Exponential Growth

• Continuous Exponential Decay

• Exponential Growth

• Exponential Decay

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor (that will be raised to the power of t)?

• ^.08
• ^1.08
• .92
• 8

Tags

CCSS.HSF-LE.A.1C

What is the decay rate in the following model?
A=1200(.85)⁶

• 1200%

• 15%

• 6%

• 85%

Tags

CCSS.HSF-IF.C.8B

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x

Tags

CCSS.HSF.LE.A.2

A population of stray cats is declining continuously at a rate of 3% per year. If the current population is 500 cats, write a function that models the change in population over time.

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 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

Tags

CCSS.HSF.LE.B.5

Which of the following exponential functions represents an initial value of 1780 and a growth of 18% for x years?​

(a)  

Tags

CCSS.HSF.LE.A.2

• The initial number of waves is 15.

• The initial number of waves decreases at a rate of 85% each day.

• The initial number of waves increases at a rate of 15% each day.

• The number of waves at the end of one day is 354.

Tags

CCSS.HSF.LE.B.5