4. The school marching band has a budget of up to \( \$ 750 \) to cover 15 new uniforms and competition fees that total \( \$ 300 \). How much can they spend for one uniform? a. Write an inequality to represent this situation. b. Solve the inequality and describe what it means in the situation.

To translate the marching band's budget into an inequality, we can represent the cost of one uniform as \( x \). The total spent on uniforms plus the competition fees should not exceed the budget of \( \$ 750 \). Therefore, the inequality would be: \[ 15x + 300 \leq 750 \] Next, we solve for \( x \): 1. Subtract the competition fees from the budget: \( 15x \leq 750 - 300 \) \( 15x \leq 450 \) 2. Divide by 15: \( x \leq 30 \) This means the band can spend up to \( \$ 30 \) on each uniform. Therefore, if they want to stick to their budget, each new uniform can cost no more than \( \$ 30 \) while still covering the competition fees. Did you know marching bands have a rich tradition? They date back to the 19th century and evolved from military bands to colorful and intricate performances in parades and competitions. The uniforms, often elaborate, represent school spirit and pride while giving the performers a cohesive look. In real life, staying on budget is crucial not just for school bands! Many organizations and groups use spreadsheets or budgeting apps to track expenses. By calculating costs per item and setting limits, it’s easier to avoid overspending and still have funds for unexpected costs, like repairs or additional gear.