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Answer :

Given that information, we know that there is a proportional relationship between the weight in pounds (p) and the number of gallons (g), with a constant of proportionality k that is:

[tex]p=8.36g\longrightarrow k=\frac{p}{g}=8.36[/tex]

With this relationship, we know that if g=0, then p=0. So the first table does not correspond.

The same point can be used to discard the fourth table.

We know that for g=1, p has to be p=8.36, so this point is present in the second table and not in the third table (that has an inverse constant of proportionality between p ang g).

Answer. Second table.