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# Rates & proportional relationships example

Video transcript

Which is less-- the unit rate
of the equation y equals 6.5x 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. They should have been
clearer in this question. 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 changes 1, y is going to change by 6.5. 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 6.5 for
every 1 change in x. In this graph right over
here, as x changes 1, as x increases 1, y increases it
looks like 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 unit increase in x. So this line is increasing at a
slower rate than this equation. Or y in this line is increasing
at a slower rate with respect to x than 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.