Question

Error Analysis  A sports team with 19 members is planning an​ end-of-season awards banquet. It costs ​$5 for each meal. To find the total cost of the​ meals, the team uses the expression 5​(gplus19​), where g is the number of guests attending the banquet. One team member incorrectly claims that the expression is equivalent to 5gplus19. Use the Distributive Property to write an expression equivalent to 5​(gplus19​). What was the likely​ error?
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Part 1
Use the Distributive Property to write an equivalent expression.
5​(gplus19​)equals
  
5 g plus 95 ​(Simplify your​ answer.)
Part 2
What was the likely​ error?
A.
The team member did not distribute the 5 to each term in the parentheses.
B.
The team member multiplied the terms in the parentheses.
C.
The team member added the 5 to each term in the parentheses.
D.
The team member added the 5 to 19.

Answer 1

Part 1
5(g + 19) = 5g + 95

Part 2
A. The team member did not distribute the 5 to each term in the parentheses (they multiplied only g by 5 and left 19 unchanged).