AnswersAL-Mathematics 7 AGraphing Proportional RelationshipsQuestion 22
22
QuizMultiple Choice

Graphing Proportional Relationships

Question 22 • AL-Mathematics 7 A

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

Answer
A
“Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.”
B
“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.”
C
“Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate.”
D
“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

For a proportional relationship, the unit rate is the value of y for each 1 unit of x, so it is the y-value when x = 1. That makes the method in choice A valid. The other methods either depend on how far apart the graph’s points happen to be or reverse the roles of x and y.

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