The correct algebraic expression for the statement "the quotient of a number and seven" is represented by the variable \( n \) divided by 7.
Thus, let's analyze each student's work:
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Adrian's work: \( \frac{7}{n} \) (This represents 7 divided by a number, which is not correct.)
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Hailey's work: \( \frac{n}{7} \) (This correctly represents the quotient of a number \( n \) and 7.)
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Camila's work: \( 7n \) (This represents multiplication, which is incorrect.)
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Juan's work: \( 7 - n \) (This represents subtraction, which is incorrect.)
The student who correctly wrote the algebraic expression for "the quotient of a number and seven" is Hailey.