Is the area of a square quilt and its side length linear ? why or why not ?

First of all, review the basic formula for a linear relationship:  y=mx + b, where m is the slope of the line represented by this formula, and b is the vertical intercept.

The area of a square (including the area of a square quilt) is  A = s^2, where s is the length of ONE side of the quilt.  This is a quadratic relationship, not a linear relationship.

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.