1. Monica is finding the perimeter of different-sized squares. One square has a side length of 1 foot and a perimeter of 4 feet. Another square has a side length of 2 feet and a perimeter of 8 feet. In this linear relationship, [tex]x[/tex] represents the side length of the square in feet, and [tex]y[/tex] represents the perimeter of the square in feet.

Which statement is true?

A. The linear relationship is proportional because the slope of the line is positive.
B. The linear relationship is proportional because the line passes through the origin.
C. The linear relationship is not proportional because the slope of the line is positive.
D. The linear relationship is not proportional because the line passes through the origin.

2. Which linear relationship is also proportional?

Question

High School

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Answer :

soniamisha soniamisha · Answer 1 · 2024-06-24T11:38:02-04:00

To the first query, the appropriate response is:

C. Because the line's slope is positive, the linear connection is not proportionate.

In the example presented, there is no proportionality between the squares' side lengths (x) and perimeters (y).

This is due to the fact that the perimeter likewise doubles from 4 feet to 8 feet when the side length goes from 1 foot to 2 feet.

In a proportionate connection, doubling one variable would cause the other to change proportionally, but that is not the case in this situation.

For the second query, y = kx, where k is the proportionality constant, represents a proportional linear connection.

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