SOLUTION: 1) find the slope: and y intercept of the graph of 2x+5y=10 2) A recent survey of the stuednt body showed that 124 out of 200 students were in favor of keeping the nutrition br

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Question 72546: 1) find the slope:
and y intercept of the graph of 2x+5y=10
2) A recent survey of the stuednt body showed that 124 out of 200 students were in favor of keeping the nutrition break between 2nd and 3rd hours. Based on these results, predict how many of the 1450 students prefer to keep the nutrition break?
3) graph: y>-1x+2
3

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
1) find the slope:
and y intercept of the graph of 2x+5y=10
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Put in slope-intercept form by solving for "y":
y=(-2/5)x+2
The slope is -2/5
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2) A recent survey of the stuednt body showed that 124 out of 200 students were in favor of keeping the nutrition break between 2nd and 3rd hours. Based on these results, predict how many of the 1450 students prefer to keep the nutrition break?
x/1450 = 124/200
x = 1450(124/200)
x = 899
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3) graph: y>(-1/3)x+2

You need to graph the EQUALITY which is the boundary of the INEQUALITY.
To graph y=(-1/3)x+2
Let x=0, then y=2 giving you point (0,2)
Let x=3, then y=1 giving you point (3,1)
Plot those points; draw a dashed line thru them; that is the boundary.
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Now, the graph of the INEQUALITY is above the boundary because you
want the "Y" values to be y>(-1/3)x+2
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Cheers,
Stan H.

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