Question

Please help!!!!!


Describe what it means for two quantities to have a proportional relationship.



Also, what is the unit rate in a proportional relationship? How do you find the appropriate units?

Answer 1

If the relationship between "x" and "y" is proportional, it means that as "x" changes, "y" also changes by the same percentage. Therefore, if "x" grows by 10 percent of "x," "y" also grows by 10 percent of "y." To put it algebraically, y = mx, where "m" is a constant.

One way to illustrate proportionality is to consider a non-proportional relationship. Children look different than adults, even in photographs where there is no way to tell exactly how tall they are, because their proportions are different. Children have shorter limbs and bigger heads compared to their bodies than adults do. Children's features, therefore, grow at disproportionate rates as they become adults.

Linear Relationship

Mathematicians love to graph functions. A linear function is very easy to graph, because it is a straight line, hence the name. Expressed algebraically, linear functions take the form y = mx + b, where "m" is the slope of the line and "b" is the point where the line crosses the "y" axis. It is important to note that "m" or "b" or both constants can be zero or negative. If "m" is zero, the function is simply a horizontal line at a distance of "b" from the "x" axis.