MATH133-1302A-01 College Algebra

The Discussion Board (DB) is part of the core of online learning. Classroom discussion in an online environment requires the active participation of students and the instructor to create robust interaction and dialogue. Every student is expected to create an original response to the open-ended DB question as well as engage in dialogue by responding to posts created by others throughout the week. At the end of each unit, DB participation will be assessed based on both level of engagement and the quality of the contribution to the discussion.

At a minimum, each student will be expected to post an original and thoughtful response to the DB question and contribute to the weekly dialogue by responding to at least two other posts from students. The first contribution must be posted before midnight (Central Time) on Wednesday of each week. Two additional responses are required after Wednesday of each week. Students are highly encouraged to engage on the Discussion Board early and often, as that is the primary way the university tracks class attendance and participation.

The purpose of the Discussion Board is to allow students to learn through sharing ideas and experiences as they relate to course content and the DB question. Because it is not possible to engage in two-way dialogue after a conversation has ended, no posts to the DB will be accepted after the end of each unit.

Two companies start up at the same time. Company A claims their annual profits follow a linear model, P(x)=10x-7 where x is the number of units sold and x≥1 . Company B claims that their annual profits follow a radical model, P(x)=15√(x – 1)+3, where x is the number of units sold and x≥1. It is your job to investigate the validity of each claim. 

1. Choose five values for x to plug into the linear function, P(x)=10x-7 and create a table of values.

2. Use the same five x values to plug into the radical function, P(x)=15√(x – 1)+3 and create a table of values.

3. Using the table of values from parts 1 and 2 graph both functions. Upload the graph as an attachment to your post, or paste it directly into the DB using the paste as html feature or picture feature of the toolbar.

4. Using the graphs from part 3 compare the profits of each company and evaluate their claims. Which model seems more realistic, the linear or radical model, and why?

In your own words, please post a response to the Discussion Board and comment on other postings. You will be graded on the quality of your postings.

For assistance with your assignment, please use your text, Web resources, and all course materials.

Course Materials