If x varies inversely as y and when x = 6, y = 8, then for x = 8 the value of y is 10. State whether the statement is true (T) or false (F)

Solution:

It is given that x varies inversely as y, then the inverse variation is denoted by

x ∝ 1/y

xy = k where k is a positive constant

Given that

x = 6

y = 8

xy = 48

Now if the value of x = 8 then the value of y will be

8 × y = 48

y = 48/8

y = 6

Hence the statement is False because it suggests y = 10.

✦ Try This: If x varies inversely as y and when x = 5, y = 9, then for x = 3 the value of y is 15.

It is given that x varies inversely as y, then

x ∝ 1/y

xy = k where k is a positive constant

Given that

x = 5

y = 9

xy = 45

Now if the value of x = 3 then the value of y will be

3 × y = 45

y = 45/3

y = 15

If x varies inversely as y and when x = 5, y = 9, then for x = 3 the value of y is 15. The statement is True.

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

NCERT Exemplar Class 8 Maths Chapter 10 Problem 56

If x varies inversely as y and when x = 6, y = 8, then for x = 8 the value of y is 10. State whether the statement is true (T) or false (F)

Summary:

If x varies inversely as y and when x = 6, y = 8, then for x = 8 the value of y is 10. The statement is False

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