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Turning point would be (2,1). This is based on the formula y (x - h)^n + k.
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20171030231735pre Calculus 1
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20171030231735pre Calculus 1
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MTH 122 CSUGC Exponential and Logarithmic Relations Discussion
For this discussion, you will be modeling real-world applications using exponential and logarithmic relations. You ...
MTH 122 CSUGC Exponential and Logarithmic Relations Discussion
For this discussion, you will be modeling real-world applications using exponential and logarithmic relations. Your task is to complete the following steps:
Find or create a data set that represents an exponential relation.
Discuss how you determined part (a).
Find or create a data set that represents a logarithmic relation.
Discuss how you determined part (b).
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
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.
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)
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.
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.
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information about a population. In this module discussion, you will take
on the role of Susan, a high school principal. She is planning on
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home or car.Describe an example of a sample of this student population that would not represent the population well.Describe another example of a sample that would represent the population well.Finally, describe the relationship of a sample to a population and
classify your two samples as random, cluster, stratified, or
convenience.In your response posts to at least two peers, discuss the following:Choose two different sampling methods from among
your peers' responses. Then, identify bias in each peer's sample and
explain how you think they could remove it
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Most Popular Content
1 page
20171030231735pre Calculus 1
1. Let y = f(x) be a cubic polynomial with leading coefficient a = 2 and f(-2) = f(1) = f(2) = 0. Find the are roots of th ...
20171030231735pre Calculus 1
1. Let y = f(x) be a cubic polynomial with leading coefficient a = 2 and f(-2) = f(1) = f(2) = 0. Find the are roots of the polynomial. Then the ...
MTH 122 CSUGC Exponential and Logarithmic Relations Discussion
For this discussion, you will be modeling real-world applications using exponential and logarithmic relations. You ...
MTH 122 CSUGC Exponential and Logarithmic Relations Discussion
For this discussion, you will be modeling real-world applications using exponential and logarithmic relations. Your task is to complete the following steps:
Find or create a data set that represents an exponential relation.
Discuss how you determined part (a).
Find or create a data set that represents a logarithmic relation.
Discuss how you determined part (b).
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
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.
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)
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.
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.
Applied Mathematics Question
1-1 Discussion: Population, Samples, and BiasIn
real-life applications, statistics helps us analyze data to extract
in ...
Applied Mathematics Question
1-1 Discussion: Population, Samples, and BiasIn
real-life applications, statistics helps us analyze data to extract
information about a population. In this module discussion, you will take
on the role of Susan, a high school principal. She is planning on
having a large movie night for the high school. She has received a lot
of feedback on which movie to show and sees differences in movie
preferences by gender and also by grade level.She knows if the wrong movie is shown, it could reduce event turnout
by 50%. She would like to maximize the number of students who attend and
would like to select a PG-rated movie based on the overall student
population's movie preferences. Each student is assigned a classroom
with other students in their grade. She has a spreadsheet that lists the
names of each student, their classroom, and their grade. Susan knows a
simple random sample would provide a good representation of the
population of students at their high school, but wonders if a different
method would be better.You can review the student demographics here: Module One Discussion Data.In your initial discussion post, specifically address the following:Introduce yourself and describe a time when you used data in a
personal or professional decision. This could be anything from analyzing
sales data on the job to making an informed purchasing decision about a
home or car.Describe an example of a sample of this student population that would not represent the population well.Describe another example of a sample that would represent the population well.Finally, describe the relationship of a sample to a population and
classify your two samples as random, cluster, stratified, or
convenience.In your response posts to at least two peers, discuss the following:Choose two different sampling methods from among
your peers' responses. Then, identify bias in each peer's sample and
explain how you think they could remove it
Rasmussen College Mathematics of Games Paper and Nash equilibrium Paper
A local law firm has hired G&B consulting to help determine a
business strategy. There is a competing firm in the area ...
Rasmussen College Mathematics of Games Paper and Nash equilibrium Paper
A local law firm has hired G&B consulting to help determine a
business strategy. There is a competing firm in the area and recently
the two firms have begun talks in regards to a merger. The merger would
mean there are more shared resources than either had before
individually. There would also be less competition for both companies.
Both would be able to operate more efficiently, however it would take a
strong commitment from both sides for the merger to be successful. The
law firm that has hired you wants to know their optimum strategy in
this situation.What to SubmitTo complete this assignment, you must first download the word document.Your step-by-step breakdown of the problems, including explanations, should be present within the word document provided.
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