Asked by Kassidi


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

There are no human answers yet.
Answered by 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.**

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