Question

(a) for the information in the table, write an equation to represent the relationship between c and j.
(b) choose the correct statement to represent this relationship.
there are 8 liters of juice per case.
there are \\(\frac{1}{8}\\) liters of juice per case.
there is 1 liter of juice per 8 cases.
there is 1 liter of juice per case.

Explanation:

Part (b)

To determine the correct statement, we analyze the fraction \(\frac{1}{8}\) in the context of liters per case. The fraction \(\frac{1}{8}\) implies that for each case, the amount of juice is \(\frac{1}{8}\) liters. So the statement "There are \(\frac{1}{8}\) liters of juice per case" matches this relationship. The other options either misinterpret the fraction (e.g., 8 liters per case is incorrect, 1 liter per 8 cases would be \(\frac{1}{8}\) liters per case but the wording here is about per case, and 1 liter per case is incorrect).

Answer:

There are \(\boldsymbol{\frac{1}{8}}\) liters of juice per case. (the option with "There are \(\frac{1}{8}\) liters of juice per case")

Note for Part (a)

Since the table information is not fully visible, we can't write the equation. If we assume the fraction \(\frac{1}{8}\) relates cases (\(C\)) and juice (\(J\)) as liters per case, the equation would likely be \(J=\frac{1}{8}C\) (where \(J\) is liters of juice and \(C\) is number of cases), meaning juice in liters is \(\frac{1}{8}\) times the number of cases. But without the table, this is an assumption. If you provide the table details, we can give the exact equation.