Question

a basketball players 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 + x}{20 + x}\\)
\\(\frac{13 + x}{20}\\)
\\(\frac{13}{20 + x}\\)

Explanation:

Step1: Calculate total made shots

The player already made 13 shots, and makes x more. Total made = $13 + x$

Step2: Calculate total attempted shots

The player already attempted 20 shots, and attempts x more. Total attempted = $20 + x$

Step3: Form the ratio

Free-throw percentage is ratio of made to attempted shots. Ratio = $\frac{\text{Total made}}{\text{Total attempted}} = \frac{13+x}{20+x}$

Answer:

$\boldsymbol{\frac{13+x}{20+x}}$ (Option B)