Question

Describe a real world relationship between the area of a rectangle and its width, as the width varies and the length at the same time. Sketch a graph to show the relationship.

So far, I have that even when the width increases, the width times the length always equals the area. Am I missing anything? How do I sketch a graph?

Answer 1

assertion is true, but it's tough to sketch, since the area is a function of two variables, requiring a 3-D graph.

Answer 2

How can I sketch this? I have to do it on paper.

Answer 3

only way is to have a fixed value for one of the variables.

For instance, if the area remains constant, then if the sides are x and y, you have (if the area is, say, 20)

xy = 20
y = 20/x

Now plot a few points and you will see how the curve looks.