Unit 7 BB1 Exponential Growth and Decay

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

Use the formula P = A(1-rate)^time.

Where A is the initial value and rate is a decimal number.

• 14327

• 4309

• 839

• 7680

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? Use the formula M = 4000(1+.25)⁴

• 9766

• 9006

• 9765

• 5433

What is the initial value for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

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

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

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute.

Which function can be used to model the number of bacteria in the colony after x minutes?

• $f(x)=12000(1+14.9)^x$

• $f(x)=12000(1-14.9)^x$

• $f(x)=12000(1+0.149)^x$

• $f(x)=12000(1-0.149)^x$

Tags

CCSS.HSF.LE.A.2

Which the following graphs represents an exponential decay function?

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• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Which of the following graphs is exponential decay?

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• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

 $D\ =\ 350000\left(1-.05\right)^8$  

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72

• $136.72

• $51,710.94

• $16,710.94

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

• Exponential Growth
• Exponential Decay
• Linear
• None