An aspiring engineer wants to build a timer by taking a glass cylinder, filling it with water, suspending it in the air, and cutting a small hole in the bottom. he notes that at 1 p.m., the cylinder is 80% full, and at 2 p.m., it is 65% full. draw a graph expressing this and interpret the meaning of the y-intercept.

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 :

 ---a

Where m is the slope

Since  

Thus  slope (m) =

Now putting values in equation a

Thus the required equation of the situation or the graph is

THE GRAPH IS ATTACHED AND Y INTERCEPT DENOTES THE LEVEL OF WATER

d)  y = -2x + 17.

Step-by-step explanation:

Use the point-slope for  of the equation of a line:

y - y1 = m(x - x1)  where m = the slope and (x1, y1) is a point on the line.

So here we have:

y - 5 = -2(x - 6)

y = -2x + 12 + 5

y = -2x + 17.