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• The graph shows the relationship between the gallons of water a sprinkler
system uses and the number of minutes the system is used. Write an
equation for this relationship. Explain how you determined your answer.

The graph shows the relationship between the gallons of water a sprinkler system uses and the number of minutes the system is used Write an equation for this r class=

Respuesta :

calculista

Answer:

[tex]y=6x[/tex]

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the gallons of water

we know that

The graph shows a proportional relationship , because is a line that passes through the origin

so

A proportional variation can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

Looking at the graph

take the points

(2,12),(4,24)

Find the value of the constant of proportionality  k

[tex]k=y/x[/tex]

For the point (2,12) ----> [tex]k=12/2=6[/tex]

For the point (4,24) ----> [tex]k=24/4=6[/tex]

The value of k=6 gal/min

That means ----> The system uses 6 gallons of water per minute

The equation for this relationship is

[tex]y=6x[/tex]

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