Question

There are 29 teams in the National Basketball Association (NBA). Each team can have a maximum of 12 healthy players plus 3 players on injured reserve. Use the distributive property to show the maximum number of players who can be in the NBA.

A) 29 × 15
B) 29 × (12 + 3)
C) 29 + 12 + 3
D) 29 - 15

Answer 1

The maximum number of players in the NBA, given 29 teams with 12 players plus 3 on reserve each, is found using the distributive property, which is correctly represented by 29 × (12 + 3).

Step-by-step explanation:

The maximum number of players who can be in the NBA, considering there are 29 teams, each with a maximum of 12 healthy players and 3 players on injured reserve, can be shown using the distributive property. This operation is described by option B) 29 × (12 + 3). Here's the application of the distributive property:

• First, add the number of healthy players to the number of players on injured reserve for one team: 12 + 3 = 15.
• Then, multiply the total number of players per team by the number of teams: 29 × 15.
• Thus, the maximum number of players in the NBA would be: 29 × 15 = 435.

Therefore, option B is the correct representation using the distributive property.