1. **Stating the problem:** Create a word problem involving a linear equation in one variable relevant to student life.
2. **Example problem:** "A student saves 50 units of money every week. After some weeks, the student has saved 350 units. How many weeks did the student save money?"
3. **Formula used:** The linear equation form is $y = mx + b$, where $y$ is the total amount saved, $m$ is the amount saved per week, $x$ is the number of weeks, and $b$ is the initial amount saved (here $b=0$).
4. **Set up the equation:** $50x = 350$
5. **Solve for $x$:** Divide both sides by 50:
$$x = \frac{350}{50} = 7$$
6. **Interpretation:** The student saved money for 7 weeks.
7. **Answer statement:** The student saved money for 7 weeks.
Linear Savings 5C4Cb2
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.