Exponential Functions

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

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

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

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

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

• -1200
• -.15
• 6
• -6

Tags

CCSS.HSF-LE.A.1C

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

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

A party charges $5 admission for each person.

• Linear
• Exponential
• Neither

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

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

Give the value of the growth factor:
y = 35(1.075)^x

• 35
• 0.075
• 7.5%
• 1.075

Tags

CCSS.HSF-IF.C.8B

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

• 800
• 0.85
• 0.15
• x

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