Question

Error Analysis A sports team with 19 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+19), where g is the number of guests attending the banquet. One team member incorrectly claims that the expression is equivalent to 6g+ 19. Use the Distributive Property to write an expression equivalent to 6(g+19). What was the likely error?

Answer 1

To write an expression equivalent to 6(g+19) using the Distributive Property, you distribute the 6 to both terms inside the parentheses: 6(g+19) = 6*g + 6*19 = 6g + 114. The likely error made by the team member is that they added 19 directly to the expression, instead of multiplying it by 6.

Step-by-step explanation:

To write an expression equivalent to 6(g+19) using the Distributive Property, you distribute the 6 to both terms inside the parentheses:

6(g+19) = 6*g + 6*19 = 6g + 114

The likely error made by the team member is that they added 19 directly to the expression, instead of multiplying it by 6.