Math Problem Statement
Solution
The problem in the image discusses a proportional relationship between the side length of a regular pentagon and its perimeter . Specifically, Ezra finds that the perimeter is always 5 times the side length. This gives the equation:
Here, represents the side length in inches, and represents the perimeter in inches. To graph this proportional relationship, you will need two points where . Let's choose two points:
- When , , so the point is .
- When , , so the point is .
Now, you can draw a straight line passing through these two points and to represent the relationship .
Do you want further explanation or more details about graphing or proportional relationships?
Here are five related questions to consider:
- What would the perimeter be for a pentagon with a side length of 4 inches?
- How does the graph of this relationship compare to the graph of ?
- If the side length is doubled, how does that affect the perimeter?
- What other polygons have a perimeter that is proportional to their side length?
- How would the graph change if the pentagon had a different ratio between the perimeter and side length?
Tip: In proportional relationships like this, the graph is always a straight line that passes through the origin.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Proportional Relationships
Graphing Linear Equations
Formulas
y = 5x
Theorems
Proportionality Theorem
Suitable Grade Level
Grade 6-8
Related Recommendation
Understanding Proportional Relationships: Perimeter of Regular Pentagons
Function Notation for Regular Pentagons: Perimeter, Area, and Inverse Functions
Ratio of Perimeters of Similar Pentagons 1:7
Find the Missing Side of a Similar Pentagon Using Proportions
Analyzing Functions: Is Perimeter a Function of Hexagons?