Exponential Growth Model

Identify the following equation as a linear growth model or an exponential growth model:

y = 15 + 2^x

• exponential growth model

• linear growth model

Identify the following equation as a linear growth model or an exponential growth model: y = 10 ( 1.2 ) ^x

• linear growth model

• exponential growth model

Tags

CCSS.HSF-IF.C.8B

Which description best describes an exponential growth model?

• a percent increase of the original amount over time

• a constant rate of change

Tags

CCSS.HSF-LE.A.1A

If the number of mosquitoes in Lincoln, April 1st, was estimated at 4,000 and by August 31st, the estimate was 223,000. Determine the rate of growth per month as a percent of the uninhibited growth that produced those numbers.

Round your answer to the nearest hundredth.

• 55.75%

• 80.42%

• 241%

• 402.09%

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

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

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Tags

CCSS.HSF-IF.C.8B

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

• The number of elephants was 1,015 in 1975.

• The number of elephants increases by 1.5% each year.

• The number of elephants increases by 101.5% each year.

• The number of elephants is multiplied by 1.015 each year.

Tags

CCSS.HSF.LE.B.5

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