Question

A class has $90 to spend on a field trip. The field trip costs $2.50 per person and there will be 5 chaperones on the trip. One student used the inequality 90 greater-than 2.50 (x + 5) to find x, the number of students that the field trip budget could accommodate. Which best describes the error in the student’s inequality?

The expression representing the cost should be 2.50 (5 x).
The expression representing the cost should be 2.50 (x + 5 x).
The inequality symbol should be Greater-than-or-equal-to instead of > since up to and including $90 may be spent.
The inequality symbol should be Less-than-or-equal-to instead of > since less than or equal to $90 may be spent.

Answer 1

A class has $90 to spend on a field trip. The field trip costs $2.50 per person and there will be 5 chaperones on the trip. One student used the inequality 90 greater-than 2.50 (x + 5) to find x, the number of students that the field trip budget could accommodate. Which best describes the error in the student’s inequality?

The expression representing the cost should be 2.50 (5 x).

The expression representing the cost should be 2.50 (x + 5 x).

The inequality symbol should be Greater-than-or-equal-to instead of > since up to and including $90 may be spent.

The inequality symbol should be Less-than-or-equal-to instead of > since less than or equal to $90 may be spent.

Explanation:

Answer 2

The inequality sign is not correct because the > symbol means greater than. However, up to and including $90 can be spent so the inequality sign should be ≥ (greater than or equal to).

Explanation: