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

Which description best describes an exponential growth model?

• a percent increase of the original amount over time

• a constant rate of change

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

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

• Growth

• Decay

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

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

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

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.

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