To find the missing value in the table, we need to first determine the rate at which water is being added to the bathtub.
From the data provided:
- At 3 seconds, there are 375 milliliters.
- At 7 seconds, there are 875 milliliters.
The amount of water added between 3 seconds and 7 seconds is: 875 - 375 = 500 milliliters.
The time taken for this is: 7 - 3 = 4 seconds.
Thus, the rate of water flow can be calculated as: Rate = (Amount of Water Added) / (Time Interval) = 500 milliliters / 4 seconds = 125 milliliters per second.
With this rate, we can check how much water is added at the other times given in the table.
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At 9 seconds: Time interval from 3 seconds to 9 seconds is 6 seconds (9 - 3). Amount of water = Initial amount at 3 seconds + (Rate × Time Interval) = 375 + (125 × 6) = 375 + 750 = 1,125 milliliters (matches the given value).
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For the missing value at 12 seconds: Time interval from 3 seconds to 12 seconds is 9 seconds (12 - 3). Amount of water = 375 + (125 × 9) = 375 + 1,125 = 1,500 milliliters.
Now, checking against the choices given: A. 1,250 milliliters B. 1,375 milliliters C. 1,500 milliliters D. 1,625 milliliters
The missing value for 12 seconds is: C. 1,500 milliliters.