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

(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.”



Answer :

sqdancefan

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.”

Step-by-step explanation:

You want to identify a valid method for finding the unit rate of a proportional relationship.

Unit rate

The "unit rate" of a proportional relationship is also called the "constant of proportionality" or the "slope" of the line on the graph. That slope is always the number of units up for one unit to the right. Hence, it will be the y-value of the point at which x = 1.

It can also be found as the ratio of units up to units to the right. That fraction may need to be reduced to lowest terms to properly represent the unit rate.

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Additional comment

The x-value for y = 2 will be twice the reciprocal of the unit rate. The difference in x-values for y-values 1 unit apart will be the reciprocal of the unit rate.

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