Question

Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The inequality 4x + 2y ≤ 20 represents the situation, where x represents the number of binders and y represents the number of notebooks.
Step 1: Identify the x- and y- intercepts of the boundary line.
When x= 0, y= .
When y= 0, x= .

Step 2: Plot the x- and y- intercepts.

Step 3: Identify the type of line to graph the boundary.
Line type:

Answer 1

9514 1404 393

Answer:

1. (0, 10), (5, 0)
2. see attached
3. solid line

Step-by-step explanation:

1.

The given form of the equation makes it simple to find the x- and y-intercepts.

As shown, the y-intercept is found when x=0:

  0 +2y = 20   ⇒   y = 20/2 = 10

And the x-intercept is found when y=0:

  4x +0 = 20   ⇒   x = 20/4 = 5

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2.

These are plotted on the attached graph.

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3.

The inequality includes the "or equal to" case, so the point on the boundarly line are part of the solution. The line is graphed as a solid line.