Assume that the number of defective basketballs produced is related by a linear equation to the total number produced. Suppose that 6 defective balls are produced in a lot of 350, and 15 defective balls are produced in a lot of 475.
Find the number of defective balls produced in a lot of 725 balls.
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OpenStudy (pulsified333):
@ganeshie8
OpenStudy (pulsified333):
@dan815
OpenStudy (pulsified333):
@jayzdd
OpenStudy (ali2x2):
First find what the linear equation
OpenStudy (ali2x2):
which is
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OpenStudy (ali2x2):
y = mx + b
m = (525 - 400)/(18 - 9)
m = 125/9
OpenStudy (ali2x2):
ok now find b,
OpenStudy (ali2x2):
by plugging in one of the points. Y will be the number of balls produced. The equation can also be set up using y as the number of defective balls. That way your m and b will be different.
OpenStudy (ali2x2):
y = (125/9)x + b
400 = (125/9)(9) + b
b = 275
So the equation is
y = (125/9)x + 275
OpenStudy (ali2x2):
Now plug in 775 for y
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OpenStudy (ali2x2):
775 = (125/9)x + 275
x = 36
OpenStudy (ali2x2):
ok now when 775 balls are produced 36 of em will be defective.
OpenStudy (ali2x2):
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OpenStudy (pulsified333):
its for 725 balls not 775
OpenStudy (pulsified333):
@ali2x2
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