Solve one-step inequalities and represent solutions on a number line.
Model a multiplicative context with an inequality
Problem
Admission costs \(\$3~\text{per}~\text{person}\) with an \(\$18\) maximum. Let \(t\) be the positive whole-number group size. Solve \(3t~\le~18\) and report the inequality with its complete contextual solution set.
Big Picture
What this problem is really about
Three dollars per person makes the total cost three times the group size, and an eighteen-dollar maximum means that product may not exceed the limit. Divide by the positive rate without reversing the inequality. Then apply the context: a group size must be a positive whole number, so report every admissible count rather than all real numbers below the bound.
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