If d varies directly as t², then we can write dt²= k, where k is some constant. State whether the statement is true (T) or false (F)

Solution:

The statement if False(F)

If d varies directly as t² we can write

d ∝ t²

d = kt² where k is some constant

d/t² = k

The ratio of d and t² is constant.

✦ Try This: If d varies inversely as t², then we can write dt²= k, where k is some constant. State if the statement is true or false.

If d varies directly as t² we can write

d ∝ 1/t²

d = k/t² where k is some constant

dt² = k

The product of d and t² is a constant.

Hence the statement is True

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

NCERT Exemplar Class 8 Maths Chapter 10 Problem 48

If d varies directly as t², then we can write dt²= k, where k is some constant. State whether the statement is true (T) or false (F)

Summary:

“ If d varies directly as t², then we can write dt²= k, where k is some constant” is a false statement.

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