Question

Lincoln Middle School has a total of $200 to spend on notebooks and tablets for the school board meeting. Notebooks cost $7 each, and tablets cost $5 each.

If x represents the number of notebooks and y represents the number of tablets, which graph correctly shows the solution to the problem 7x + 5y ≤ 200?

X, Y graph. X range is negative 60 to 60, and y range is negative 60 to 60. Solid line on graph has negative slope and runs through 0, 40 and 50, negative 30. Below line is shaded.
X, Y graph. X range is negative 60 to 44, and y range is negative 60 to 60. Solid line on graph has negative slope and runs through 0, 40 and 50, negative 30. Above line is shaded.
X, Y graph. X range is negative 60 to 44, and y range is negative 60 to 60. Dashed line on graph has negative slope and runs through 0, 40 and 50, negative 30. Above line is shaded.
X, Y graph. X range is negative 60 to 44, and y range is negative 60 to 60. Dashed line on graph has negative slope and runs through 0, 40 and 50, negative 30. Below line is shaded.

Answer 1

are there any pictures that go with it?

Answer 2

Old question but

In order to graph 7x + 5y ≤ 200, let’s pretend that it’s 7x + 5y = 200 with an equals sign. Graph 7x + 5y = 200 as a normal equationZ

Now, since we have 7x + 5y ≤ 200 (y ≤- 7/5 x + 40 after solving for y). since y is less than/equal to the rest of the equation, we have a solid line with the area shaded underneath.

One last consideration, because x and y represent notebooks and tablets, x and y can only be 0 or greater.