Question

A dripping faucet wastes a cup of water if it drips for three minutes. The amount of water wasted varies directly with the amount of time the faucet drips. What is the constant of variation?

A. 1/3
B. 2
C. 1/2
D. 3

Answer 1

The constant variation I believe would be 1/3 So sorry if I’m wrong

Answer 2

A. 1/3

Explanation:

Suppose x represents the amount of the water ( in cups ) wasted in t minutes,

∵ The amount of water wasted varies directly with the amount of time the faucet drips,

⇒ x ∝ t

⇒ x = kt

Where,

k = constant of variation,

If x = 1, t = 3,

`\implies 1 = k(3)\implies k = (1)/(3)`

Hence, the constant of variation is
`(1)/(3)`

OPTION A is correct.