Answer:
- see attached for ratios
- y = (1/12)x
Explanation:
You want to use a graph or table of ratios to determine if the data shown in the given table represents direct variation, and you want an equation for the relation.
Direct variation
The equation for direct variation is of the form ...
y = kx
where k is the constant of variation. The value of k can be found from ...
k = y/x . . . . . . divide by x
Table of ratios
The attachment shows the values of k that result using the points in the table to compute it. The fact that these are all equal means the relation is direct variation. The constant of variation is 1/12, so the equation is ...
y = (1/12)x
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