Answer:
See below
Step-by-step explanation:
First, I would choose three different points with some distance between. Let's do x = -5, x = 0, and x = 5. Next, I would plug those numbers into the equation, like so:
Next, I would plot the points [(-5, 45), (0, 25), (5, 5)] on an x-y graph. Finally, I would take a ruler, line it up with the three points, and draw a line through those three points, extending from one side of the graph to the other to show the equation is continuous.
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
