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Word Problem Modeling
Example 4

Example 4: Translating Word Problems

Step-by-step worked example for this lesson track.

Problem

A plan costs 22 plus 4 per unit. If total is 38, find units.\text{A plan costs }22\text{ plus }4\text{ per unit. If total is }38\text{, find units.}

1. Recognize Pattern

Total=rate⋅x+fixed\text{Total}=\text{rate}\cdot x+\text{fixed}

2. Apply Method

14x+13=83⇒x=514x+13=83\Rightarrow x=5

3. Conclude

4x+22=38⇒x=44x+22=38\Rightarrow x=4

Final answer

4x+22=38⇒x=44x+22=38\Rightarrow x=4
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