Answer:
Value of y is 51.
Step-by-step 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 [tex](x,y)[/tex] data.
So,
Rise of [tex]17[/tex] cm in [tex]7[/tex] minutes can be written in [tex](x_1,y_1)[/tex] as [tex](7,17)[/tex] .
Lets find the relation of given [tex]x_2 = 21[/tex] with [tex]x_1= 7[/tex] and say that its ratio is a [tex]k[/tex] factor.
Dividing both the values:
⇒ [tex]k =\frac{x_2}{x_1}[/tex]
⇒ [tex]k =\frac{21}{7}[/tex]
⇒ [tex]k=3[/tex]
We can say that the ratio of y-values will also be equal to [tex]k[/tex] .
⇒ [tex]k =\frac{y_2}{y_1}[/tex]
⇒ [tex]k=\frac{y}{y_1}[/tex] ...considering [tex]y_2=y[/tex]
⇒ [tex]k=\frac{y}{17}[/tex]
⇒ [tex]y=k\times 17[/tex]
⇒ [tex]y=3\times 17[/tex]
⇒ [tex]y=51[/tex]
The value of y from the data point is 51.
