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									                           MAT 116 – Algebra 1A
                       Week #6 Application Assignment
                                Pricing Plans

Name:
Score: x/50
 Certificate of Originality submitted:
Work must be shown for full credit.
Equation Editor must be used where necessary. See your Procedures
document for further information.
Be sure to save your document as a Word Document so that graph and
equation objects are not converted to images. I cannot accept images.
Reduce all fractions to lowest terms.
Each question is worth 5 points.
First, save this file to your hard drive by selecting Save As from the File
menu. Click the white space below each question to maintain proper
formatting

As a consumer, you often encounter rates in pricing. Very often, linear equations
and linear functions can help you.

                Questions                        Instructor’s comments
 (Enter your work and answer in this
                 column)
# 1 – 3 A farmer owns a 1,000-acre farm. He uses the following function to
determine how much fertilizer to purchase. F(a) represents the total pounds of
fertilizer he needs for a acres.
                                   F(a)=22.8a

1. What does the number 22.8                     Instructor’s comments
   represent?

Pounds of fertilizer

2. How many pounds of fertilizer will he         Instructor’s comments
   need for 85 acres?



3. Find F(65)                                    Instructor’s comments




                                                       MAT 116 Week 6 Application Assignment
                                                                       Instructor: John Price
                        MAT 116 – Algebra 1A
                    Week #6 Application Assignment
                             Pricing Plans

4. If you were to graph the equation for            Instructor’s comments
   this function, what might be a
   reasonable domain? Express your
   answer using set builder notation.



5. In 1998, the farmer spent $13,950 in             Instructor’s comments
   fertilizer and seed. In the year 2010,
   he spent $16,830. Use the
   coordinates
     (1998, 13950) and (2010, 16830)
   to find the slope or rate of change
   between the two points. Show your
   work.



#6 – 9: The linear equation
                                 y = 2375x + 5160

represents an estimate of average home prices in a certain town starting in 1920.
The year 1920 is represented by x = 0. The year 1930 is represented by x = 10,
etc.

6.    What year would be represented                Instructor’s comments
     by x = 19?



7. What value of x represents the year              Instructor’s comments
2010?



8. What is the slope of the equation?               Instructor’s comments


What is the y-intercept?


What does the y-intercept represent in
this scenario?


                                                        MAT 116 Week 6 Application Assignment
                                                                        Instructor: John Price
                       MAT 116 – Algebra 1A
                   Week #6 Application Assignment
                            Pricing Plans



9. Using this equation, what was the            Instructor’s comments
average home price in the year 1990?


Assuming the trend continues, what will
the average home price be in 2020?



FastCell cell phone company offers a pricing plan modeled by the equation
                                 y = 0.12x + 23.10,
where y is the monthly charge and x represents the minutes used.
The line
                                   0.10x = y – 24
represents the plan for HighCell cell phone company.

10. If you use an average of 480                Instructor’s comments
minutes per month, which plan would
be the cheapest one for you? Show
your work to justify your answer.




                                                      MAT 116 Week 6 Application Assignment
                                                                      Instructor: John Price
                         MAT 116 – Algebra 1A
                     Week #6 Application Assignment
                              Pricing Plans
Rubric for Application Assignment Questions
The answer fully and correctly addresses     Full credit
all parts of the question. The Equation
Editor is used where necessary. All work
is shown. The response contains no
spelling or capitalization errors and no
grammar errors. The response adheres to
APA standards in citation and use of all
references
The answer incorrectly answers the           Partial credit
question. The Equation Editor is used
where necessary. All work is shown.
The answer incorrectly answers the           Partial credit
question or the Equation Editor is not used.
Work is shown and contains only minor
errors.
The answer incorrectly answers the           0 -50% Credit
question and no work is shown.

(-10% for each day late, up to 4 days. After 4 days late, the Appendix cannot be accepted
for grade. I am willing, however to mark it for feedback.)




                                                              MAT 116 Week 6 Application Assignment
                                                                              Instructor: John Price

								
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