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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.