A tapered container filled with 1,000 gallons of water has a small hole at the bottom such that 3 gallons a minute pours out. If you graphed the number of gallons in the container as the output, compared to the number of minutes as input, what would the graph look like? Which of the following would not be true?
A.
The graph would be a line.
B.
The graph would rise from left to right.
C.
The graph would be only in the first quadrant.
D.
The more time has passed, the less water there would be.

Question

A tapered container filled with 1,000 gallons of water has a small hole at the bottom such that 3 gallons a minute pours out. If you graphed the number of gallons in the container as the output, compared to the number of minutes as input, what would the graph look like? Which of the following would not be true?
A.
The graph would be a line.
B.
The graph would rise from left to right.     
C.
The graph would be only in the first quadrant.
D.
The more time has passed, the less water there would be.

anonymous · Answer

Let's think for a moment. If water is flowing out at a steady rate, the number of gallons will steadily go down (the function being linear, it would be a line) and we can't have negative time or gallons. What does that leave?