Let's analyze the given problem step-by-step.
### Problem Breakdown
1. Variables Definition:
- Length (x): The length of Maya's poster.
- Width: It is given that the width is 2 inches shorter than the length.
2. Equation for Width:
- Width = Length - 2
3. Area of the Poster (y):
- Area = Length × Width
- Substituting Width = Length - 2 into the area formula:
[tex]\[
\text{Area} = x \times (x - 2)
\][/tex]
### Given Point (2, 0)
We need to determine what the point (2, 0) represents on the graph.
4. Interpretation of Point (2, 0):
- This point means that when the length [tex]\( x = 2 \)[/tex] inches, the area [tex]\( y = 0 \)[/tex] square inches.
### Detailed Step-by-Step Solution
Given the point [tex]\( (2, 0) \)[/tex]:
1. Length [tex]$ x $[/tex] is 2 inches:
- Length (x) = 2 inches
2. Determine the Width:
- Width = Length - 2
- Width = 2 - 2 → Width = 0 inches
3. Determine the Area:
- Area = Length × Width
- Area = 2 × 0 → Area = 0 square inches
### Conclusion
As we analyzed, when the length of Maya's poster is 2 inches, the width of the poster is 0 inches, which results in an area of 0 square inches.
Therefore, the point [tex]\( (2, 0) \)[/tex] represents that:
- The width is 0 if the length is 2 inches.
The correct description for what the point [tex]\( (2, 0) \)[/tex] represents is:
- "The width is 0 if the length is 2."
