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?
Answer
A
the fraction with numerator 13 and denominator 20 plus x
B
the fraction with numerator 13 plus x and denominator 20 plus x
C
13 x over 20 x
D
the fraction with numerator 13 plus x and denominator 20
Explanation
The season percentage is successful shots divided by total attempts. After she makes the next x shots, she will have made 13 + x shots out of 20 + x attempts, so the expression is (13 + x)/(20 + x), the fraction in choice A.
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