The water pump for a swimming pool can move 166.5 gallons f water in 3 minutes The number of gallns y, is proportional to the number of minutes, x that the pump perates. what best represents the relationship between y and x

Respuesta :

As per the concept of proportionality, the best relationship between time and water pump is y = 55.5x

Proportionality:

If two object are proportional to each other, the link between them can be described by

y = kx,

where ‘k’ is the constant ratio of y-values to corresponding x-values.

Given,

The water pump for a swimming pool can move 166.5 gallons of water in 3 minutes.

Here we need to find the relationship between the water pump and the time for filling.

Let us consider x be the number of minutes and y be the amount of water follows on the pump that s measured in gallons.

AS per the proportionality, the relationship is written as,

y = kx

Where k is the constant, that refers the amount of water flows in one minute.

To calculate this we have to divide the amount of water by the minutes,

Thus, equals,

=> 166.5/3

=> 55.5

Therefore, the value of k is 55.5.

Then the relationship is

y = 55.5x

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