Question

You use a garden hose to fill a wading pool. If the water level rises 17 centimeters every 7 minutes and you record the data point of ​(21​,y), what is the value of​ y?

Answer 1

Value of y is 51.

Explanation:

Given:

A garden hose is used to fill a pool where water level rises 17 cm in every 7 minutes.

And the recorded data given = (21,y)

We have to find the value of "y".

As the ascent of water level is upward so we will assign it y-axis and time to be on x-axis.

As we know in Coordinate plane we have to put
`(x,y)` data.

So,

Rise of
`17` cm in
`7` minutes can be written in
`(x_1,y_1)` as
`(7,17)` .

Lets find the relation of given
`x_2 = 21` with
`x_1= 7` and say that its ratio is a
`k` factor.

Dividing both the values:

⇒
`k =(x_2)/(x_1)`

⇒
`k =(21)/(7)`

⇒
`k=3`

We can say that the ratio of y-values will also be equal to
`k` .

⇒
`k =(y_2)/(y_1)`

⇒
`k=(y)/(y_1)` ...considering
`y_2=y`

⇒
`k=(y)/(17)`

⇒
`y=k* 17`

⇒
`y=3* 17`

⇒
`y=51`

The value of y from the data point is 51.