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?

Answer 1

`((13+x))/((20+x))` is the rational expression.

Explanation:

Basketball player made 13 of the first 20 free throws she attempted this season.

Next x successful free throw attempts means total successful attempts made by player = 13 + x

and total free attempts = 20 + x

Since free throw percentage is the ratio of successful shots made to the number of shots attempted.

Therefore, ratio will be =
`((13+x))/((20+x))`

Therefore the rational expression used is
`((13+x))/((20+x))`

Answer 2

The rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free-throw attempts would be:

(13 + x) / (20 + x)

where x = free throw attempts

I hope my answer has come to your help. God bless and have a nice day ahead!