Answer:
y axis denotes the level of water in cylinder
x axis denotes the time
Step-by-step explanation:
Given : At 1 p.m. cylinder is 80% full i.e. 0.80.
At 2 p.m. cylinder is 65% full i.e. 0.65.
Solution :
time(x) : 1 2
level (y) : 0.80 0.65
Using these points we can plot the graph (refer the attached figure)
In the figure y axis denotes the level of water in cylinder
x axis denotes the time
We can also find the equation of the graph by using two point slope form :
[tex]y-y_{1} =m(x-x_{1})[/tex] ---a
Where m is the slope
[tex]m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
Since [tex](x_{1} ,y_{1}) =(1,0.80)[/tex]
[tex](x_{2} ,y_{2}) =(2,0.65)[/tex]
Thus slope (m) =
[tex]m=\frac{0.65 -0.80}{2-1}[/tex]
[tex]m=-0.15[/tex]
Now putting values in equation a
[tex]y-0.80 =-0.15(x-1)[/tex]
[tex]y-0.80 =-0.15x+0.15[/tex]
[tex]0.15x+y-0.95=0[/tex]
Thus the required equation of the situation or the graph is
[tex]0.15x+y-0.95=0[/tex]
THE GRAPH IS ATTACHED AND Y INTERCEPT DENOTES THE LEVEL OF WATER
