• The graph shows the relationship between the gallons of water a sprinklersystem uses and the number of minutes the system is used. Write anequation for this relationship. Explain how you determined your answer.
Accepted Solution
A:
Answer:[tex]y=6x[/tex]Step-by-step explanation:Letx ----> the number of minutesy ----> the gallons of waterwe know thatThe graph shows a proportional relationship , because is a line that passes through the originsoA 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/minThat means ----> The system uses 6 gallons of water per minuteThe equation for this relationship is[tex]y=6x[/tex]