1. The graph will be labelled as shown in the attachment below (x-axis: mins, y-axis: gallons of water).
2. She turned off the water when the time was 6 minutes.
3. There was 24 gallons of water when Elena bathed her dog.
4. It took 12 minutes for the tub to drain completely.
5. The faucet filled the tub at the rate of 4 gallons per min.
6. The tub drained at the rate of 2 gallons per minute.
- The graph given shows the relationship between the amount of water in the tub as it relates to time. Thus:
1. Amount of water (gallons) in the tub is dependent on time (minutes). Therefore, the graph will be labelled as follows (see attachment for the labeled graph):
- horizontal axis (x-axis) will be labeled time (minutes).
- vertical axis (y-axis) will be labeled amount of water (gallons).
2. From the image in the attachment, point B is when Elena turned off the water faucet.
- At this point, when she stopped putting in more water, the time was 6 minutes.
3. There was 24 gallons of water at point B to C when Elena bathed her dog.
4. The tub drained between point C and D.
- At point C, the time was 18 mins
- At point D, the time was 30 mins.
- Total time taken for the tub to drain = 30 - 18 = 12 minutes.
5. The faucet was filled between point A and point B.
the rate of change = 24 gallons / 6 mins
= 4 gallons per min
6. The water drained from the tub at point C to point D.
The rate of change = 24 gallons / 12 minutes
= 2 gallons per min
In summary:
1. The graph will be labelled as shown in the attachment below (x-axis: mins, y-axis: gallons of water).
2. She turned off the water when the time was 6 minutes.
3. There was 24 gallons of water when Elena bathed her dog.
4. It took 12 minutes for the tub to drain completely.
5. The faucet filled the tub at the rate of 4 gallons per min.
6. The tub drained at the rate of 2 gallons per minute.
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