This document appears to be notes from a math lesson on proportional relationships. It includes examples of proportional relationships between cost and weight, ounces and cups, and earnings and weeks worked. It also defines proportional relationships as situations where y=kx, where k is the constant of proportionality. The document provides instructions for students to complete homework problems and discusses how to determine if quantities are proportional and recognize proportional relationships in tables.

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Module 1 Lesson 3:
Proportional
Relationship
12/7/16
Homework:
Lesson #3 Problem Set
Page 12
Do Now

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1137.50+1500 = 2637.5

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If a proportional relationship is described by the set
of ordered pairs that satisfies the equation y = kx,
where k is a positive constant, the k is called the
constant of proportionality. It is the value that
describes the multiplicative relationship between
two quantities, x and y. The (x, y) pairs represent
all the pairs of values that make the equation true.
Finding Constant of Proportionality
y
x
= k

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Discussion
Does everyone pay the same cost per ounce? How do you know?
Isabelle's brother takes an extra-long time to create his dish. When he puts it
on the scale, it weighs 15 ounces. If everyone pays the same rate in this
store, how much will his dish cost? How did you calculate this cost?

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Cost is proportional to weight.
y = 0.40 x
where x represents the weight
y represents the cost
y = kx
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Is the number of ounces proportional to the number of cups? How do you
know?
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Ounces is proportional to cups.
y = 8 x
where x represents the cups
y represents the ounces
y = kx

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Alex's total earnings are proportional to the number of weeks he worked. There exists
a constant value, 28, that can be multiplied by the number of weeks to determine the
corresponding earnings for that week. The table shows an example of a proportional
relationship.
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Closing
1.) How do we know if two quantities are proportional to each
other?
2.) How can we recognize a proportional relationship when
looking at a table or set of ratios?

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