Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area, One measured 75yd by 60yd. If the other has a length of 72yd, what is its width?
Right but how do I write an inverse variation?
So should it be:
72W = 75*60
W=62.5?
To model the situation of inverse variation, we need to understand the concept and equation for inverse variation.
Inverse variation, also known as inverse proportion, is a relationship between two variables where their product remains constant. In mathematical terms, we can represent inverse variation as:
y = k/x
Where:
- y and x are variables
- k is the constant of inverse variation
In this case, we are dealing with the area of rectangular fields. The area of a rectangle is determined by multiplying its length and width. Since the two fields have the same area, we can set up the following inverse variation equation:
75 * 60 = 72 * w
Let's solve for the unknown variable, which in this case is the width (w).
To find w, we'll rearrange the equation:
w = (75 * 60) / 72
Now, we can calculate the value of w:
w = 4500 / 72
w ≈ 62.5
Therefore, the width of the rectangular field with a length of 72 yards is approximately 62.5 yards.
as always, if L and W are inversely related, LW=k
Better review your text on the topic.
come on. Just change the numbers in the one I already did for you: You want W such that
72W = 75*60
Think a little, ok?