mth122 mod6 peer discussion respones 200 words each

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Please respond to both POST1: and POST2: in at least 200 words each. I have also posted the original post only as a reference and does not need to be responded to, but to assit in answering POST1: and POST2:

Original post:

For this discussion, you will be modeling real-world applications using exponential and logarithmic relations. Your task is to complete the following steps:

  1. Find or create a data set that represents an exponential relation.
  2. Discuss how you determined part (a).
  3. Find or create a data set that represents a logarithmic relation.
  4. Discuss how you determined part (b).
  5. In your responses to peers, compare and contrast your examples with others and reflect on your peers examples.

POST1:

Hello class,

I found this date table online of the population of bald eagles from 1963-2000

Data table showing the number of bald eagle pairs mating after 1950, where t = the number of years after 1950

It can be determined that this table is exponentially growing by looking at the ‘t” column for “years after 1950” increases linearly while the “eagle airs” column grows exponentially. The graph below proves this.
Scatterplot showing strong, positive exponential relationship

As far as a logarithmic function relation to a data table, I found the table for life expectancy vs GDP per capita. (only looking at GDP and Life Expectancy columns)

Image result for data table for life expectancy vs gdp

Because the x value of the data table increases exponentially, I can identify this as a logarithmic function. and here is the graph to prove the logarithmic relationship.

Image result for data table for life expectancy and gdp

Cheers,

POST2:

Good evening,

One example that I found of an exponential relation is that of bacteria and how it grows (Monterey Institute, n.d.). Some bacteria can double in size in approximately one hour. Therefore, the simple relation, starting with 2, would be:

f(x) = 2x , where x is the number of hours.

The reason for starting with a measurement of two is that with only 1, we could not show exponential growth over time. And as the bacteria grew, the growth itself would also multiply.

An example of a logarithmic relation is that of the Richter scale, which measures the intensity of earthquakes (Monterey Institute, n.d.). An equation that would represent this is:

Richter = log (A / A0), where A is the amplitude that is felt during an earthquake, and A0 is the standard detectable amplitude.

The measurements range from 2 to 10, with 10 being the most intense. The reason for the logarithm is that each increase on the Richter scale is a tenfold increase in the intensity of the waves.

References

(n.d.). Retrieved from http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U18_L4_T2_text_final.html (Links to an external site.)

(n.d.). Retrieved from http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U18_L1_T1_text_final.html

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