Maths-
General
Easy
Question
A pool initially contains 1,385 cubic feet of water. A pump begins emptying the water at a constant rate of 20 cubic feet per minute. Which of the following functions best approximates the volume v(t), in cubic feet, of water in the pool t minutes after pumping begins, for 0 ≤ t ≤ 69 ?
- v(t) = 1,385 - 20t
- v(t) = 1,385 - 69t
- v(t) = 1,385 + 20t
- v(t) = 1,385 + 69t
The correct answer is: v(t) = 1,385 - 20t
HINT: Frame an equation corresponding to the information provided in the question.
Complete step by step solution:
Water initially contained in the pool = 1385 cubic feet
Water emptied from the pool at a constant rate per minute = 20 cubic feet
This can be represented as 20t.
Water left in the pool after pumping it for 0 ≤ t ≤ 69 = 1385 - 20t
That is v(t) = 1385 - 20t
Hence option A is the answer.
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