Download Integrated 1 - Southwest Washington Mathematics

SE.4 Systems Applications
TEACHER: Buy A Printer
Common Core Standards
Systems of Equations Learning Targets
A.CED I can create equations and inequalities that describe numbers or
relationships.
 A-CED.2 Create equations in two or more  Create equations with two variables to represent
variables to represent relationships between
relationships between two quantities from a verbal
quantities; graph equations on coordinate
description or tables.
axes with labels and scales.
 Graph equations on coordinate axes with labels and
scales.
A-REIb I can solve a system of equations.
 A-REI.6 Solve systems of linear
 Explain and identify why some linear systems have
equations of two variables exactly and
infinitely many solutions or no solution.
approximately (e.g. with graphs), focusing
 Solve a system of linear equations to find an exact
on pairs of linear equations in two variables.
solution.
 Determine the approximate solution to a system by
graphing both equations and estimating the point of
intersection.
A-REIc I can represent and solve equations and inequalities graphically.
 A‐REI.10 Understand that the graph of an  Understand that every point (x, y) on the line is a
solution to the equation.
equation in two variables is the set of all its
 Verify that any point (x, y) on the line is a solution
solutions plotted in the coordinate plane,
to the equation.
often forming a curve (which could be a
line).
N-Q I can reason quantitatively and use units to solve problems.
 N-Q.1 Use units as a way to understand problems and  Identify or choose the appropriate unit
to guide the solutions of multi-step problems; choose and
of measure according to the context.
interpret units consistently in formulas; choose and
 Include units with answers.
interpret the scale and the origin in graphs and data
displays.
 N-Q.2 – Define appropriate quantities for the purpose  Determine and interpret appropriate
of descriptive modeling.
quantities when solving systems in
context.
 N-Q.3 – Choose a level of accuracy appropriate to
 Determine the accuracy of values
limitations on measurement when reporting quantities.
based on their limitations in the
context of the situation.
Algebra 1 by Southwest Washington Common Core Mathematics is licensed
under a Creative Commons Attribution 4.0 International License 2014-15
Page 1 of 3
SE.4 Systems Applications
TEACHER: Buy A Printer
Debra wants her boss, Mike, to buy her a new printer. She wants to get a laser printer
because the quality of the printed pages is better. However laser printers cost more to buy.
Mike knows you need to buy the printer, but also the ink. Mike told her that she could buy
the printer that costs less to operate, or more cost effective.
1)
2)
3)
4)
Complete the table for the inkjet printer.
Debra found prices for a laser printer at Office
Buy’s website.
o Printer costs $225
o Black toner costs $80
o Each toner cartridge prints 2,200 pages
Make a table for the laser printer.
Which printer costs less to buy, and how much does
it cost?
The inkjet printer, which costs $70.
How many pages do you have to print to have the
other printer cost less to use?
Approximations are OK.
3500
Inkjet Printer
Laser
Printer
Cost
y
Pages
x
Cost
y
0
500
$70.00
$110
$225.00
1000
$150
$260.46
1500
$190
$278.18
2000
$230
$295.91
2500
$267.37
$313.64
3000
$306.84
$331.37
3500
$346.31
$349.09
4000
$385.79
$366.82
4500
$425.26
$384.55
5000
$464.74
$402.28
5500
$504.21
$420.00
6000
$543.68
$437.73
$242.73
This work by Southwest Washington Mathematics is licensed under a Creative Commons Attribution 4.0 International License.
2013-2014
Page 2 of 3
TEACHER: Buy A Printer
SE.4 Systems Applications
5) Use the table to graph
the inkjet printer cost.
Use the table to graph
the laser printer cost.
7)
What is the point of
intersection where the
lines cross?
( 3553 , 351 )
8)
How does is that point
of intersection connect
to your answer to #4?
#4 was a good approximation for
the x-coordinate of the
intersection.
Total Cost (Printer & Ink)
6)
Buy a Printer
Number of Pages Printed
9)
Debra’s boss Mike told her that she could buy the printer that costs less to operate, or
more cost effective. Debra will present the table, graph and your answers to Mike.
Using this information how should Debra and Mike decide which printer to buy?
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This work by Southwest Washington Mathematics is licensed under a Creative Commons Attribution 4.0 International License.
2013-2014
Page 3 of 3