Question

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

Answer 1

Exhibit Inverse Variation- True

Exhibit Direct Variation - False

Step-by-step explanation:

Check if the question Asks for Direct or Inverse

Answer 2

Option A is correct.

True.

Step-by-step 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 = (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= (k)/(2)`

or

k =60

for point (5,12)

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

`12= (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.