112k views
0 votes
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

2 Answers

1 vote
The constant variation I believe would be 1/3 So sorry if I’m wrong
User Muruga
by
8.1k points
3 votes

Answer:

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.

User Anees U
by
8.8k points