Several students in the midwifery degree program have decided to collaborate and write a comprehensive resource book to inform local pregnant women and their families on midwifery care, health and wellness, and access to local programs and services. Two publishers are interested in marketing and publishing it for distribution in Calgary and the surrounding area. Both publishers anticipate retailing the book for $30. Publisher "A" offers a straight 20% royalty for each book sold. Publisher "B" offers a $4000 advance and then a royalty of 12% for each book sold. The students must make a decision between these two offers. Part A. Interpret the Question and Express the problem in Mathematical Language Express the problem algebraically by writing the linear models for earnings with publisher A or B in the table below. Carefully read the descriptions of each plan above. Part B. Procedural Math To solve this problem, three different strategies are possible: algebraic, graphical, or numerical. Start with a numerical solution and fill in the table below on this sheet of paper:
Several students in the midwifery degree program have decided to collaborate and write a comprehensive resource book to inform local pregnant women and their families on midwifery care, health and wellness, and access to local programs and services. Two publishers are interested in marketing and publishing it for distribution in Calgary and the surrounding area. Both publishers anticipate retailing the book for $30. Publisher "A" offers a straight 20% royalty for each book sold. Publisher "B" offers a $4000 advance and then a royalty of 12% for each book sold. The students must make a decision between these two offers. Part A. Interpret the Question and Express the problem in Mathematical Language Express the problem algebraically by writing the linear models for earnings with publisher A or B in the table below. Carefully read the descriptions of each plan above. Part B. Procedural Math To solve this problem, three different strategies are possible: algebraic, graphical, or numerical. Start with a numerical solution and fill in the table below on this sheet of paper:
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Transcribed Image Text:Several students in the midwifery degree program have decided to collaborate and write a
comprehensive resource book to inform local pregnant women and their families on midwifery
care, health and wellness, and access to local programs and services. Two publishers are interested
in marketing and publishing it for distribution in Calgary and the surrounding area.
Both publishers anticipate retailing the book for $30.
Publisher "A" offers a straight 20% royalty for each book sold.
Publisher "B" offers a $4000 advance and then a royalty of 12% for each book sold.
The students must make a decision between these two offers.
0
Part A. Interpret the Question and Express the problem in Mathematical Language
Express the problem algebraically by writing the linear models for earnings with publisher A or B
in the table below. Carefully read the descriptions of each plan above.
Part B. Procedural Math
To solve this problem, three different strategies are possible: algebraic, graphical, or numerical.
Start with a numerical solution and fill in the table below on this sheet of paper:
x, number of books sold
Income with publisher A, ($)
Income with publisher B, ($)
B =
A =
500
1000
1500
2000
2500
3000
Where are the two plans roughly equal? We can only say that it is between_ _and_
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Transcribed Image Text:Refine your table by calculating values of x that go up in increments of 100 between these two
numbers. You can refine even further if you wish.
x, number of books sold
Income with publisher A, ($)
A =
Income with publisher B, ($)
B =
What is your best estimate for the number of books sold that make the plans equal?
Use the numerical data above to graphically compare the incomes. Construct a graph to model
both publishing plans on the same Cartesian Plane and attach it to this tutorial (you may use Excel
or DESMOS if you wish). Which quantity is to plotted on which axis?
Properly label and title your graph. What is your best estimate from your graph?
Now solve the problem algebraically. You are solving a system of equations by substitution.
Part C. Comment on the Process and Interpret the Results
Are the solutions you obtained numerically, graphically and algebraically consistent?
What factors must the students consider when deciding between these two offers?
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