Praxis Dashboard

J = 3A + 4

This equation correctly represents the relationship stated in the problem, where Joe's age is expressed as being four more than three times Amy's age.

A) A = J/3 + 4

This option incorrectly positions Amy's age as a function of Joe's age. Instead of showing that Joe's age is derived from Amy's age, it suggests that Amy's age is one-third of Joe's age plus four, which does not align with the original statement.

B) A = 3J + 4

This equation suggests that Amy's age is equal to three times Joe's age plus four. This is incorrect as it reverses the roles of Joe and Amy, failing to represent the relationship where Joe's age is dependent on Amy's age.

C) J = 3A + 4

This option accurately reflects the statement provided in the question. It shows that Joe's age (J) is four years more than three times Amy's age (A), thus correctly capturing the intended relationship.

D) J = 3(A + 4)

This equation misinterprets the original statement by suggesting that Joe's age is three times Amy's age increased by four years, which does not align with the relationship given in the problem.

Conclusion

The correct equation, J = 3A + 4, accurately expresses the relationship between Joe's and Amy's ages as described in the question. All other options fail to represent this relationship correctly, either by reversing the roles or misapplying the mathematical operations involved. Thus, option C is definitively the correct choice.