Menza has a $500 budget for the school party. She paid $150 for the decorations. Food will cost $5.50 per student. Which inequality represents the number of student, s, that can attend the party?

Respuesta :

Inequalities are used to compare expressions of unequal values

The inequality is [tex]150 + 5.5s \le 550[/tex]

The given parameters are:

  • Budget = $500
  • Decoration = $150
  • Food: $5.50 per student

Let the number of students be s.

So, the amount spent on s students is:

[tex]Amount = Decoration + Food \times s[/tex]

This gives

[tex]Amount = 150 + 5.5\times s[/tex]

[tex]Amount = 150 + 5.5s[/tex]

The budget is $550; this means that the amount spent cannot exceed $500.

So we have:

[tex]150 + 5.5s \le 550[/tex]

Hence, the inequality is [tex]150 + 5.5s \le 550[/tex]

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