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Representations of linear functions
Dividing a budget
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An office has a monthly budget of $50 for
pencils and pens. A pencil costs 20 cents, a pen
50 cents. The person in charge of supplies prepared a
table showing various options for ordering
pencils and pens each month.
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Use the Representation of functions
tool to show the dependence of the number of pens
that can be ordered on the number of pencils purchased, using
a correspondece rule and a graph. Describe the properties of the resulting graph and their meaning in
terms of the story.
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How many pencils and how many pens should be ordered to accomplish the following:
- The number of pencils equals the number of pens?
- The number of pens is twice the number of pencils?
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Explain how the graph describing the relation between the amount of
pencils and pens will change after each of the following changes:
- An increase in the price of pencils.
- An increase in the price of pens.
- An increase in the monthly budget for writing utensils.
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A new supplier is offering to sell pencils at 15 and
pens at 60 cents a piece. Should the office switch to the new
supplier?
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