Answer:
- see attached for the graph
- y = 0.75x
Explanation:
You want to use a graph to determine if the relation shown in the table is direct variation, and you want an equation for that relation.
Direct variation
The graph shows the given points lie on a straight line through the origin, so represents direct variation.
The equation for direct variation is of the form ...
y = kx
and we can find the value of k by dividing by x:
k = y/x
It is convenient to use the first point:
k = 75/100 = 0.75
The equation relating x and y is y = 0.75x.
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