Question

A basketball uniform costs $16 for the shirt and $13 for the shorts. If the coach needs to buy uniforms for 9 players, use the distributive property to write an expression that shows how much all of the uniforms cost.

A) 16 + 13 x 9
B) 16 x 9 + 13
C) 9 x (16 + 13)
D) 9 x 16 + 9 x 13

Answer 1

The use of the distributive property to calculate the total cost of basketball uniforms for 9 players results in the expression 9 x (16 + 13), equating to $261.

Step-by-step explanation:

To calculate the total cost of basketball uniforms for 9 players using the distributive property, we can write an expression to represent the cost of one shirt and one pair of shorts for each player and then multiply that sum by the number of players. Since a basketball uniform costs $16 for the shirt and $13 for the shorts, the expression for one uniform would be (16 + 13). To find the cost for 9 players, we multiply that expression by 9:

The correct expression using the distributive property is 9 x (16 + 13), which simplifies to 9 x 29. Therefore, the total cost for 9 uniforms is 9 times the sum of the cost of one shirt and one pair of shorts.

When we multiply 9 by 29, we get the total cost for 9 players' uniforms:

• 9 x 29 = 261

Hence, the total cost for the uniforms is $261.