Question

Choose one of the players with a free-throw percentage greater than 75%. Determine the number of free throws that the player could miss during the next 10 games and still maintain an overall percentage of at least 75%. ​

Answer 1

To determine the number of free throws a player can miss and still maintain a 75% free-throw percentage, we can use a proportion and solve for the maximum number of missed free throws. The answer is 2.

Step-by-step explanation:

To determine the number of free throws a player could miss during the next 10 games and still maintain an overall free-throw percentage of at least 75%, we can use a proportion.

Let's assume the player has made a total of x free throws so far and missed y free throws. The overall free-throw percentage can be calculated as (x - y) / x = 75%.

Simplifying the equation, we get (x - y) / x = 0.75. Cross multiplying, we get x - y = 0.75x. Rearranging the equation, we get y = 0.25x.

Since we are looking for the number of free throws the player can miss during the next 10 games, we need to find the maximum value of y, given that x = 10.

Substituting x = 10 into the equation, we get y = 0.25 * 10 = 2.5. Since we can't have a fractional number of missed free throws, the maximum number of free throws the player can miss and still maintain an overall free-throw percentage of at least 75% is 2.