Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k. State whether the statement is true (T) or false (F)

Solution:

The statement is false(F).

When two quantities x and y vary directly with each other then symbolically it means:

x ∝ y

x = ky

Or

x/y = k

Where k is the proportionality constant

Therefore the given statement is false.

✦ Try This: Two quantities x and y are said to vary inversely with each other if for some rational number k, xy = k.

The statement is true (T).

When two quantities x and y vary directly with each other then symbolically it means:

x ∝ 1/y

x = k/y

xy = k

Where k is a positive constant.

Therefore the given statement is True(T).

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 43

Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k. State whether the statement is true (T) or false (F)

Summary:

Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k- The statement is false(F).

☛ Related Questions:

• When the speed is kept fixed, time and distance vary inversely with each other. State whether the st . . . .
• When the distance is kept fixed, speed and time vary directly with each other. State whether the sta . . . .
• Length of a side of a square and its area vary directly with each other. State whether the statement . . . .