Question
Multiple Choice Question
The amount of water in a bathtub that is getting filled at a constant rate is shown in the the table below.
Time Since Turning
on Faucet Amount of Water
3 seconds 375 milliliters
7 seconds 875 milliliters
9 seconds 1,125 milliliters
12 seconds ?
17 seconds 2,125 milliliters
What is the missing value in the table?
A.
1,250 milliliters
B.
1,375 milliliters
C.
1,500 milliliters
D.
1,625 milliliters
Answers
GPT-4o mini
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.
- 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).
- 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.**
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.
- 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).
- 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.**