Graphing Proportional Relationships — Quiz

Question 6 • Grade 7 Mathematics

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?

Answer

“Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.”

“Look at the graph of the relationship. Find the x -value of the point that corresponds to y is equal to 2 . That value is the unit rate.”

“Look at the graph of the relationship. Find the y -value of the point that corresponds to x is equal to 1 . That value is the unit rate.”

“Look at the graph of the relationship. Find two points which have y -values that are one unit apart. The unit rate is the difference in the corresponding x -values.”

Explanation

In a proportional relationship, the unit rate is the amount of y for each 1 unit of x. So, on the graph, find the point where x = 1; its y-value is the unit rate. Therefore, the valid method is “Find the y-value of the point that corresponds to x = 1.”

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