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Paha777 [63]
4 years ago
8

A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining

, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water. 1. Solve for the y-variable.     y – 12 = –3(x – 1) y – 12 = –3x + 3 y = –3x +15   2. Write the equation using function notation.  f(x) = –3x +15 The tub started with ____ gallons of water. 
Mathematics
2 answers:
Yakvenalex [24]4 years ago
5 0
The tub started with 15 gallons
mixer [17]4 years ago
4 0

The tub started with 15 gallons of water.

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Answer:

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Step-by-step explanation:

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Math Help! 62 points for answer(s) Right answers only, and credible reasoning please.
Andrews [41]
Question #1, refers to the graph that appears on the left:

The graph is comprised of 4 segments.
All of the segments are linear.
Segment 'B' is the only one that's rising.

Question #2, also refers to the graph that appears on the left:

As discussed in the answer to Question #1,
interval-B is a segment that's linear and rising.

Question #3:

Keisha runs to Natasha's house, stays there for 15 minutes,
then ... with Natasha ... runs the rest of the way to swim practice.

If the story is graphed, the graph has 3 segments.  Since the slope
of each segment is Keisha's speed during that interval:
-- the middle segment will have no slope, while she sits motionless
at Natasha's house;
-- the 1st and 3rd segments will have positive slopes, while Keisha
is running.

Choice A).  Terrible choice.  It says that at time=0, when Keisha begins
running, she is 5 blocks from home.  Then it says that the line decreases,
as if she runs from there toward her house.  Not a good choice.

Choice B).  Somewhat better, but doesn't fit the story.  This graph
says that she starts from her house, runs at 3 different speeds
until she is 9 blocks away, then immediately turns around and
spends the next hour running back home.  Also not a good choice.

Choice C).  This is it.  If I had not read the story and just saw this graph,
I could see that Keisha started at her house, ran 5 blocks away from in
0.25 hour, stayed at that -place for the next 0.25 hour, then ran to some
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stayed there for the next hour.  That's all the information that appears on
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Choice D).  Now that we know we have a good graph in choice-C,
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This graph says that at time zero, Keisha is 5 blocks away from her
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Question #4.    Refers to the graph on the right side.     

This graph is comprised of 5 linear segments.  The slope of
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level isn't changing, then the slope of the line is zero ... it's
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If somebody told us that this was the graph of a girl taking a bath,
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Now I'm ready to look at the choices.

OK.  I see that the question is only asking about segment-C.

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K emptied the tub ... No.  The level isn't changing.
K got into the tub ... No.  The level isn't changing.
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Hope this helps and have a nice day!!
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