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CCSS.Math:

which is less the unit rate of the equation y equals 6.5 X or the unit rate of the graph shown below so when they're talking about unit rate and they're actually a little bit ambiguous here there should have been clear in this question they're really saying I'm assuming they're asking us about the unit rate at which Y changes with respect to X or how much does y change for a change of 1 in X the unit rate and over here you see when X change is 1 Y is going to change by 6 point 5 every time x increases by 1 Y is going to increase by 6.5 or you could say the unit rate of change of Y with respect to X is 6 point 5 for every one change in X in this graph right over here as X changes 1 as x increases 1 Y increases it looks like about by about 3 and 1/2 x increases by 1 Y increases by 3 and 1/2 so the unit rate of change here of Y with respect to X is 3 and 1/2 for every for every Y increases 3 and 1/2 for every unit for every unit increase in X so this line is increasing at a slower rate than this equation or why Y in this line is check is increasing at a slower rate with respect to X then Y is increasing with respect to X in this equation right over here so the unit rate of the graph is less than the unit rate of the equation