Question

The figure below is the graph of the dimensions of a rectangle whose adjacent side lengths exhibit inverse variation ?

Answer 1

Answer:

Option A is correct.

True.

Explanation:

Inverse variation states that a relationship between two variables in which the product is a constant.

If one variable increases then the  other decreases in proportion so that the product is unchanged.

If y is inversely proportional to x , the the equation is of the form

$y = \frac{k}{x}$;     ......[1]  where k is the constatnt variation:

Here, y= Height and x =width

then from the figure;

For points (2, 30)

Substitute the value of x =2 and y =30 in [1];

$30= \frac{k}{2}$

or

k =60

for point (5,12)

Substitute the value of x =5 and y = 12 in [1]

$12= \frac{k}{5}$

or

k =60

Similarly, for others point also k = 60

Therefore, we can see that the constant of variation in the given figure is k =60.

Yes it's True, because the figure in the graph of the dimension of rectangle whose adjacent side lengths exhibit inverse variation.