Modeling With Exponential Functions

Classify the model as Exponential GROWTH or DECAY and identify the time.

• Growth for 3 years

• Decay for 10 years

• Growth for 10 years

• Decay for 3 years

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Use the data set to generate an exponential model.

• The y-intercept, $14,585, represents the value of the car when Carla purchased it in 2011.

• The y-intercept, $20,480, represents the value of the car when Carla purchased it in 2009.
  

• The y-intercept, $29,870, represents the value of the car when Carla purchased it in 2007.
  

Calculate the average RATIO between successive y-values.

• ratio= 1.2

• ratio= 2.5

• ratio= 4.6

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?

• 9766

• 9006

• 9765

• 5433

Which of the following function describe exponential growth? Select all that apply.

• f(t) = 1.25^t

• f(t) = 2(0.93)^t

• f(t) = 3(1.07)^3t

• f(t) = 0.5(1.05)^t

• f(t) = 3(1.71)^5t

This equation shows.....

• Exponential Decay

• Exponential Growth

• Linear Function

• None of these

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

• f(x) = 417(3.75)^x

• f(x) = 417(0.0375)^x

• f(x) = 417(1.0375)^x

• f(x) = 417(1.375)^x