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

Answer:

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).

Answer 2

The best description of the error in the student's inequality is; The inequality symbol should be Greater-than-or-equal-to instead of > since up to and including $90 may be spent.

What is the representation of the inequality?

We are told that;

Amount for the class to spend = $90

Cost of field trip = $2.5 per person

Number of persons on the trip = 5 persons

Inequality used by a student is;

90 > 2.5(x + 5)

The inequality sign used above is not correct because the they have $90 to spend and so the inequality sign should be ≥ (greater than or equal to).

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