Variable Quiz Problem 02

Algebra Level 1

In the expression x ⋅ y = 100 x\cdot y = 100 , if both x x and y y are positive, what happens to the value of y y as x x grows larger? ( ( Assume the product of x x and y y is always 100. ) 100.)

It grows smaller. It grows larger. It stays the same. There's not enough information to know.

Arron Kau by Arron Kau

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Ram Mohith
Sep 19, 2018

Here, x ⋅ y = 100 x \cdot y = 100 is a constant and the value will not change with change in values of x , y x, y

x ⋅ y = 100 ⟹ y = 100 x x \cdot y = 100 \implies \boxed{\color{#3D99F6}y = \dfrac{100}{\color{#20A900}x}}

From the above relation you can conclude that if x \color{#20A900}x increases the value in the denominator increases and hence, the value of y \color{#3D99F6}y decreases.

Visualizing form the given picture, the area will be constant and that is it is equal to 100 100 . Now, if we increase the length automatically the breadth should decrease to make the area constant.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...