Answer:
The answers are:
Time (min) 2 3 3.5 5 6.5
Water used (gal) 8 12 14 20 26
Attached image with the graph
Step-by-step explanation:
In order to determine the table and graph, we have to know about directly proportional.
The directly proportional is when two variables increase at the same time, it means, if one variable is increased, the other variable will be increased too. The rate of both variables is constant and we can use this constant to determine any other.
Applying directly proportional:
[tex]\frac{12}{3}=k\\k=4[/tex]
Then, we determine the blank values of the table:
Time (min)=2
[tex]\frac{x}{2} =k\\x=4*2\\x=8[/tex]
Time (min)=3
[tex]\frac{x}{3}=k\\x=4*3\\x=12[/tex]
Time (min)=3.5
[tex]\frac{x}{3.5}=k\\x=3.5*4\\x=14[/tex]
Water used (gal)=20
[tex]\frac{20}{y}=k\\y=\frac{20}{4}\\y=5[/tex]
Time (min)=6.5
[tex]\frac{x}{6.5}=k\\x=6.5*4\\x=26[/tex]
The completed table is:
Time (min) 2 3 3.5 5 6.5
Water used (gal) 8 12 14 20 26
I have attached an image that shows the graph with the pairs of coordinates.
