Proportional and Non-Proportional Relationships
Lesson 1-4
11/2017
Homework
1. Study math notes and vocabulary cards daily
2. Assigned problems in Semester Exam Study Guide
Vocabulary
1.) proportional
2.) nonproportional
3.) equivalent ratios
4) cross product
Definitions
1) two quantities that have a constant ratio or unit rate.
2) A relationship between two quantities in which the ratio is not
constant
3) ratios that have the same value
4) the product of the numerator of one ratio and the denominator in the
other ratio
I. Identify Proportional
Relationships using an Equation
Identify Proportional Relationships using an Equation
Are the ratios proportional?
Ex. 1- Use Cross Product
12
3 to 4 and
8
3
12
=
4
8
24 = 48 (nonproportional)
Ex. 1 and 2
 Set up the ratio equation. Write ratios in fraction form
 Use cross product or simplify ratios
 Are the values equal? Yes-then proportional; Nononproportional
Identify Proportional Relationships in Tables
 Write the relationship of each ratio in table in simplest form
 If all answers are equal than the relationship represented in
table is proportional.
Ex. 2- Use Simplification
36
72
𝑎𝑛𝑑
2
4
18
1
𝑎𝑛𝑑
18
1
(proportional)
Ex. 1
Rental Time
Cost $
𝑟𝑒𝑛𝑡𝑎𝑙 𝑡𝑖𝑚𝑒
1
𝑐𝑜𝑠𝑡
37
Ex. 1 The Vista Marina rents boats for
$25 per hour. In addition to the rental
fee, there is a $12 charge for fuel. Use
the table to determine if the number of
hours you rent the boat is proportional
to the total cost.
62
3
87
2
62
3
87
or 0.027
2
II. Identify Proportional
Relationships in Tables
1
37
=
=
1
31
1
29
or 0.032
or 0.034
Answer: The relationship of rental time
to cost is nonproportional.
Summary: Explain what makes two quantities proportional. Answer: Two quantities are
_______________ if the relationships have ______________ ratios while
______________________ relationships do not.