A tank of water was drained at a constant rate. The table shows the number of gallons of water left in the tank after being drained for two amounts of time.


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Part A
What is the rate at which the water was drained from the tank?
A
666 gallons of water per minute
B
111111 gallons of water per minute
C
454545 gallons of water per minute
D
120120120 gallons of water per minute
(b)

Part B
​What was the total amount of water in the tank before it was drained?​
A
450450450 gallons
B
510510510 gallons
C
560560560 gallons
D
570570570 gallons

1 answer

To determine the rate at which water was drained from the tank and the total amount of water in the tank before it was drained, we can analyze the given information.

Part A: Finding the draining rate

  1. We need to know the two amounts of time with corresponding gallons left in the tank. Since the image is unavailable, I'll assume you have the data. Generally, you'll need to calculate the rate by finding the difference in gallons and dividing by the time difference.

    Formula: \[ \text{Rate} = \frac{\text{Change in gallons}}{\text{Change in time}} \]

For example, if the table shows:

  • At 1 minute: 450 gallons remaining
  • At 2 minutes: 400 gallons remaining

The calculation would be: \[ \text{Change in gallons} = 450 - 400 = 50 \text{ gallons} \] \[ \text{Change in time} = 2 - 1 = 1 \text{ minute} \] \[ \text{Rate} = \frac{50 \text{ gallons}}{1 \text{ minute}} = 50 \text{ gallons/minute} \]

However, since I don't have the actual numbers from your table, please substitute the appropriate values into the formula.

Part B: Total amount of water in the tank before draining

Assuming you have taken the rate from Part A and you also know how much water was left after a certain time, you can calculate the initial total using:

Formula: \[ \text{Initial Amount} = \text{Gallons remaining} + (\text{Rate} \times \text{Time}) \]

Using the previous example:

  • If after 2 minutes, there are 400 gallons remaining and the rate is 50 gallons/minute: \[ \text{Initial Amount} = 400 + (50 \times 2) = 400 + 100 = 500 \text{ gallons} \]

Please replace the numbers accordingly with the actual data you have for both parts to acquire the correct answers.

Once you have that, you can check against the answer choices provided in your question to select the correct one.