The equation that defines the proportional relationship is: y = 26x.
What is a Proportional Relationship?
Proportional relationship can be defined as the relation between variables x and y, whereby their ratios are the same. The equation can be modelled as, y = kx, where k is the unit rate.
Let's check out the ratio of distance travelled to gallon of gas used:
26:1 = 26/1 = 26
130:5 = 130/5 = 26
The unit rate is k = 26.
The equation would be: y = 26x
They have equivalent ratios, therefore, the relationship between distance travelled and gas usage defines a proportional relationship.
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