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.

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15-02-2022
Mathematics

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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.

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psm22415 psm22415 · Answer 1 · 2022-02-24T05:52:35+01:00

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

Given

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.

Inequality;

Those on the right have contended that inequalities are just the product of natural differences between individuals or social groups which should not be the subject of interference.

The variable x represents the number of students.

We also know there are 5 chaperones attending;

This makes x+5, by 2.50.

It costs $2.50 per person; this means we multiply the number of people, x+5, by 2.50:

= 2.50(x+5)

The class has $90 to spend; this means they can spend up to and including $90.

This gives us

= 90>2.50(x+5)

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

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