14. A single pump is filling a storage container with water at a rate of 60 gallons per minute. After 30 minutes, an additional pump turns on and the container begins to fill at a total rate of 130 gallons per minute for an additional 30 minutes. The container already had 1,500 gallons of water when it began to be filled. (a) On the grid below, graph the amount of water the tank contains for the first 60 minutes. (b) Write a piecewise defined function for the volume, V, as a function of time, t, measured in minutes.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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Please help me with 14 A and B

14. A single pump is filling a storage container with water at a rate of 60 gallons per minute. After 30 minutes,
an additional pump turns on and the container begins to fill at a total rate of 130 gallons per minute for an
additional 30 minutes. The container already had 1,500 gallons of water when it began to be filled.
(a) On the grid below, graph the amount of water (b) Write a piecewise defined function for the
the tank contains for the first 60 minutes.
volume, V, as a function of time, t, measured in
minutes.
7000
6000
5000
4000
3000
2000
1000
10 20 30 40 50 60
Time (min)
(1r8) aunjoA
Transcribed Image Text:14. A single pump is filling a storage container with water at a rate of 60 gallons per minute. After 30 minutes, an additional pump turns on and the container begins to fill at a total rate of 130 gallons per minute for an additional 30 minutes. The container already had 1,500 gallons of water when it began to be filled. (a) On the grid below, graph the amount of water (b) Write a piecewise defined function for the the tank contains for the first 60 minutes. volume, V, as a function of time, t, measured in minutes. 7000 6000 5000 4000 3000 2000 1000 10 20 30 40 50 60 Time (min) (1r8) aunjoA
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