the graph shows how the cost of hakims birthday party depens on the number of guests

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Answer:
$1.50 per guest
Step-by-step explanation:
The rate of change is the slope of the line, the "rise" divided by the "run".
For computing the slope, it is convenient to use points where the line crosses grid intersections. We note that both ends of the line shown are at grid intersections, so we'll use those points.
m = rise/run = (10 -1)/(6 -0) = 9/6 = 3/2 = 1.50
The rate of change is 1.50 dollars per guest.