Question

Core Math IA-CR

Area of Maya's Poster
The width of Maya's poster is 2 inches shorter than the
length. The graph models the possible area (u) of
Maya's poster determined by its length (x).
Which describes what the point (2.0) represents?
The area is 2 if the length is 0.
The area is O if the length is 2.
The length is 2 if the width is 0.
The width is O if the length is 2.

Answer 1

The area is 0 if the length is 2.

Explanation:

To determine what the point (2.0) represents in the graph, we need to understand what the variables x and u represent.

Let's assume:

x: represents the length of Maya's poster

u: represents the area of Maya's poster

The problem states that the width of Maya's poster is 2 inches shorter than the length. This means that the width is (x - 2) inches.

Now, let's look at the graph. The x-axis represents the length (x), and the y-axis represents the area (u) of Maya's poster. The graph models the relationship between the length and the area, so each point on the graph represents a specific combination of length and area.

The point (2.0) on the graph means that the length (x) is 2 and the area (u) is 0. Therefore, the correct interpretation of the point (2.0) is:

The area is 0 if the length is 2.

In this case, when the length of Maya's poster is 2 inches, the width would be (2 - 2) = 0 inches, which means the poster has no width, making the area 0.