Determine whether quantities vary directly or inversely and find the constant of variation. it takes four identical water pumps 6 hours to fill a pool. how long would it take three of these same pumps to fill the pool, assuming they all pump at the same rate?

Time taken by 4 water pumps to fill the pool is 6 hours
Time taken by 1 pump will be:
4×6=24 hours
fraction of pool filled by a single pump in 1 hour will be:
1/24
To calculate how long it would take 3 pumps to fill the pool we proceed as follows:
Fraction of pool filled with water in 1 hour is:
3×1/24
=1/8
thus the time taken to fill the pool by 3 pumps is:
8/1=8 hours

3.7 < √14 < 3.8

Step-by-step explanation:

First approximation

9 < 14 < 16, so

3 < √14 < 4

Second approximation

14 is closer to 16 than to 9.

Is √14 between 3.7 and 3.8? If so, then

 3.7²  < 14 <   3.8²

13.69 < 14 < 14.44. TRUE

The inequality is 3.7 < √14 < 3.8.