https://file.aiquickdraw.com/mathbot/file/1729178748225y2rqdtuq.jpg

The problem in the image discusses a proportional relationship between the side length \( x \) of a regular pentagon and its perimeter \( y \). Specifically, Ezra finds that the perimeter is always 5 times the side length. This gives the equation:

\[
y = 5x
\]

Here, \( x \) represents the side length in inches, and \( y \) represents the perimeter in inches. To graph this proportional relationship, you will need two points where \( y = 5x \). Let's choose two points:

1. When \( x = 0 \), \( y = 5(0) = 0 \), so the point is \( (0, 0) \).
2. When \( x = 2 \), \( y = 5(2) = 10 \), so the point is \( (2, 10) \).

Now, you can draw a straight line passing through these two points \( (0, 0) \) and \( (2, 10) \) to represent the relationship \( y = 5x \).

Do you want further explanation or more details about graphing or proportional relationships?

Here are five related questions to consider:
1. What would the perimeter be for a pentagon with a side length of 4 inches?
2. How does the graph of this relationship compare to the graph of \( y = 2x \)?
3. If the side length is doubled, how does that affect the perimeter?
4. What other polygons have a perimeter that is proportional to their side length?
5. 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.

Ezra is finding the perimeter of different-sized regular pentagons. He finds the perimeter is always 5 times longer than the side length.

There is a proportional relationship between the side length of the regular pentagon in inches, x, and the perimeter of the regular pentagon in inches, y.

Graph this relationship. Select two points to draw a line.

Learn how to graph the proportional relationship between the side length and perimeter of a regular pentagon. This problem demonstrates the concept of y = 5x, showing how the perimeter is always 5 times the side length. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation