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?

Inequalities are used to compare expressions of unequal values

The inequality is

The given parameters are:

Let the number of students be s.

So, the amount spent on s students is:

This gives

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

So we have:

Hence, the inequality is

Read more about inequalities at:

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step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: