Q:

# The points on this graph represent a relationship between x- and y-values. Which statement about the relationship is true?

Accepted Solution

A:
See in the explanationExplanation:Recall that you have to write complete question in order to get good and precise answers. I found a similar question and attached the options below. However, the question has missing graph, too. So let's face this problem in a general way.1. It must be proportional because the points lie on the same line.The points not not only must lie on the same line, but that line must pass through the origin because two quantities x and y are directly proportional if we can write an expression:$$y=kx \\ \\ Being \ k \ the \ constant \ of \ proportionality$$That is, if x increases, y also increases at the same rate.2. It must be proportional because each time x increases by 2, y stays the same.In this case as x increases by 2, y stays the same, meaning that this relationship is constant. So in this case they aren't proportional, but we can write:$$y=c \\ \\ Being \ a \ real \ constant$$3. It cannot be proportional because the y-values are not whole numbers:This doesn't make sense. The only condition for a direct proportion is that the line must pass through the origin and for any constant of proportionality $$k$$4. It cannot be proportional because a straight line through the points does not go through the origin:This is is true because the definition of direct proportion is that the line passes through the origin for some constant k:$$y=kx$$So if I could see the graph, I'd choose the fourth option.Learn more:Proportional Relationships: #LearnWithBrainly