Question

Pls help me with this question, 99 pointsss

Answer 1

The Third Graph is the correct answer.

Explanation:

I would start by drawing the graph in general at first. By removing the inequality sign and replacing it with an equal sign, you can notice how it fits the form y = mx + b. Thus, you can notice that the graph has a negative slope and has a y-intercept at the point (0,200). This leaves you with 2 graphs.

When correctly choosing the graph, you must determine what y being greater than -12x + 200 means. If y is greater than -12x+200, it suggests that all y values will be greater than -12x+200, meaning the area above -12x+200 will be shaded when graphed.

In context to the problem, the total area will always be greater than the total number of seats.

Answer 2

Graph 3

`\hrulefill`

Explanation:

Given inequality:

`y > -12x + 200`

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

The boundary line of the given inequality is y = -12x + 200.

Therefore, its slope and y-intercept are:

• Slope = -12
• y-intercept = 200

This means that the boundary line has a negative slope and crosses the y-axis at (0, 200).

As the inequality symbol is ">", this means that:

• The boundary line is a dashed line.
• The shading is above the line.

Therefore, the graph that represents the given inequality is graph 3 (attached).