Exponential Growth and Decay #3

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth
• Linear
• Exponential Decay
• None of the Abovee

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

Which equation matches the graph?

• y=2(2)^x
• y=2(1/2)^x
• y=2^x
• y=1/2(2)^x

Tags

CCSS.HSF.LE.A.2

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

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

What is the decay rate in the following model?

A=1200(.85)⁶

• 1200

• .15

• .85

• 6

Tags

CCSS.HSF-IF.C.8B

This function represents the number of ants in a colony $f\left(x\right)=3\ \left(\ 2\right)^x$ How many ants did you begin with? 

• There was 2 ants

• There was 3 ants

• The equation doesn't tell us

Tags

CCSS.HSF.LE.B.5

This function represents the number of ants in a colony $f\left(x\right)=3\ \left(\ 2\right)^x$ What is the growth rate?

• The ants are growing by 3 times

• The ants are growing by 2 times

• The equation doesn't tell us

Tags

CCSS.HSF-IF.C.8B

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year.  Write and evaluate an expression to estimate the paintings value in 2005.

• 1.08(12,000)^t = $36,000
• 12,000(1.08)^t = $38, 066
• 12,000(0.5)^t = $10,000
• 12,000(0.92)^t = $40,000

Tags

CCSS.HSF.BF.A.2