Question

1. the coach requires players to shoot no more than 15 free throws before water break. write and graph an inequality for the number of free throws f a player can take.

Explanation:

Step1: Analyze the problem

The phrase "no more than" means less than or equal to. Let \(f\) be the number of free - throws.

Step2: Write the inequality

Since \(f\) is no more than \(15\), the inequality is \(f\leqslant15\).

Step3: Graph the inequality

On a number line:

• Draw a number line.
• Place a closed circle at \(15\) (because \(f = 15\) is included in the solution set, due to the \(\leqslant\) sign).
• Shade the line to the left of \(15\) (since \(f\) can be any value less than or equal to \(15\)).

Answer:

The inequality is \(f\leqslant15\). The graph has a closed circle at \(15\) and shading to the left on the number line.