Proportional Relationship with a Table & an Equation | 7.RP.A.2 💚💙

In this math video we will solve a two part question about a proportional relationship with a table and an equation. We will begin by understanding the table and finding the unit rate. We will find the change in each column as we increase by 1. We will use the unit rate to find a different output value. We will then use the unit rate to write an equation to represent the proportional relationship. An exemplar solution is modeled and explained.

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00:00 Introduction
00:08 The Question
00:43 Reading the Table
01:22 Finding the Unit Rate
02:38 Using the Unit Rate
02:56 Part A - The Solution
03:03 Part B - The Question
03:28 Using Unknowns to Write an Equation
04:15 Equation of a Proportional Relationship
04:40 Part B - The Solution

Ratios & Proportional Relationships
7.RP.A.2 Recognize and represent proportional relationships between quantities.
7.RP.A.2.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
7.RP.A.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
7.RP.A.2.c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
7.RP.A.2.d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

7.RP.A.2 Use proportional reasoning to solve a real-world problem and determine which equation represents the proportional relationship shown in a table.