Question

Greg made 4 chairs and 3 tables. Greg only has enough plywood to make at most 15 chairs or tables total. Let x represent the number of more chairs and y represent the number of more tables that Greg can make. Which of the following graphs best represents the relationship between x and y?

Answer 1

Since x and y represent the number of chairs and tables, we can say x + y <= A, where A is the total number of chairs and tables.

Now, he can make at most 15, but since he's already made 4 chairs and 3 tables, we need to remove that from our total to find the total amount he can make.

$x + y \leq 15 - 7$
$x + y \leq 8$

The x and y intercepts hit at 8, so thus, the answer must be the last graph.