Question

a basketball player’s free - throw percentage is the ratio of the number of successful shots made to the number of shots attempted. a basketball player has made 13 of the first 20 free throws she has attempted this season. which rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free - throw attempts?\
\\(\frac{13x}{20x}\\)\
\\(\frac{13}{20 + x}\\)\
\\(\frac{13 + x}{20}\\)

Explanation:

Step1: Determine total successful shots

The player initially made 13 free - throws and then makes \(x\) more. So the total number of successful free - throws is \(13 + x\).

Step2: Determine total attempted shots

The player initially attempted 20 free - throws and then attempts \(x\) more. So the total number of attempted free - throws is \(20 + x\).

Step3: Find the free - throw percentage

The free - throw percentage is the ratio of successful shots to attempted shots. So the rational expression for the free - throw percentage is \(\frac{13 + x}{20 + x}\).

Answer:

The rational expression \(\frac{13 + x}{20 + x}\) (the bottom - left option among the given boxes)