Question

error analysis a sports team with 17 members is planning an end - of - season awards banquet. it costs $6 for each meal. to find the total cost of the meals, the team uses the expression 6(g + 17), where g is the number of guests attending the banquet. one team member incorrectly claims that the expression is equivalent to 6g + 17. use the distributive property to write an expression equivalent to 6(g + 17).
use the distributive property to write an equivalent expression.
6(g + 17)=square (simplify your answer)

Explanation:

Step1: Recall Distributive Property

The distributive property states that \( a(b + c) = ab + ac \). Here, \( a = 6 \), \( b = g \), and \( c = 17 \).

Step2: Apply the Property

Applying the distributive property to \( 6(g + 17) \), we get \( 6\times g + 6\times17 \).

Step3: Simplify the Multiplication

Calculate \( 6\times17 = 102 \). So the expression becomes \( 6g + 102 \).

Answer:

\( 6g + 102 \)