Lesson 2 Identify Proportional Relationships In this lesson

Essential Question 1. How can you decide whether two quantities in a table have

Words to Know: • Proportional Relationship – a relationship in which the ratio of

Two quantities are in a PROPORTIONAL RELATIONSHIP if the unit rate for each pair

Practice Problem #1 The table below shows the price and the weight of three

Practice Problem #2 The table below shows the price and the number of fluid

Practice Problem #3 Eliza makes these four servings of orange-cranberry juice. If the pairs

Practice Problem #4 Sal makes the four batches of orange paint shown in the

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Lesson 2: Identify Proportional Relationships In this lesson, you will learn two methods to test whether two quantities are in a proportional relationship.

Essential Question 1. How can you decide whether two quantities in a table have a proportional relationship? 2. What can you look for on a graph to determine a proportional relationship?

Words to Know: • Proportional Relationship – a relationship in which the ratio of two quantities has a constant unit rate. • Origin – the point (0, 0) on a coordinate plane where the x and y axes intersect

Two quantities are in a PROPORTIONAL RELATIONSHIP if the unit rate for each pair of quantities is the same! On a graph, if the points lie on a straight line AND go through the origin, the graph is proportional.

Practice Problem #1 The table below shows the price and the weight of three bunches of bananas. Devon wants to find out if each relationship between the price in dollars and the pounds of bananas is proportional. Complete the table. Price Pounds $0. 90 1. 5 $1. 05 1. 75 $1. 20 2 Unit Rate (per pound)

Practice Problem #2 The table below shows the price and the number of fluid ounces for three containers of orange juice. Devon wants to find out if the relationship between the price in dollars and the number of fluid ounces is proportional. Complete the chart. Price Fluid Ounces $3. 84 64 $2. 24 32 $0. 80 8 Unit Rate (per fluid ounce)

Practice Problem #3 Eliza makes these four servings of orange-cranberry juice. If the pairs of quantities in the table are proportional relationships, each serving will taste the same. Does the table show proportional relationships that are the same? Make a graph. Orange Juice (fl. oz) Cranberry Juice (fl. oz) 2 3 3 4½ 4 6 5 7½

Practice Problem #4 Sal makes the four batches of orange paint shown in the table below. If the number of cups of yellow paint to red paint are in a proportional relationship, each batch will be the same color. Will each batch be the same color? Yellow Paint (cups) Red Paint (cups) Unit Rate (cups of yellow : cups of red) 2 3 3½ 5 3 4½ 1 6½