SOLUTION: Assume that the number of defective basketballs produced is related by a linear equation to the total number produced. Suppose that 10 defective balls are produced in a lot of 325

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Question 520446: Assume that the number of defective basketballs produced is related by a linear equation to the total number produced. Suppose that 10 defective balls are produced in a lot of 325, and 17 defective balls are produced in a lot of 450. Find the number of defective balls produced in a lot of 550 balls.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot number of defective balls, d, on the vertical axis
Plot the lot size, s, on the horizontal
given:
2 points on the straight line
( 325,10 )
( 450,17 )
Use the point-slope formula
+%28+d+-+10+%29+%2F+%28+s+-+325+%29+=+%2817+-+10+%29+%2F+%28+450+-+325+%29+
+%28+d+-+10+%29+%2F+%28+s+-+325+%29+=+7+%2F+125+
+125%2A%28+d+-+10+%29+=+7%2A%28+s+-+325+%29+
+125d+-+1250+=+7s+-+2275+
+125d+=+7s+-+2275+%2B+1250+
+125d+=+7s+-+1025+
+d+=+%287%2F125%29%2As+-+41%2F5+
check:
( 450,17 )
+17+=+%287%2F125%29%2A450+-+41%2F5+
+17+=+3150%2F125+-+41%2F5+
+17+=+126%2F5+-+41%2F5+
+17+=+85%2F5+
+17+=+17+
OK
When +s+=+550+,
+d+=+%287%2F125%29%2A550+-+41%2F5+
+d+=+3850%2F125+-+41%2F5+
+d+=+154%2F5+-+41%2F5+
+d+=+113%2F5+
+d+=+22.6+
Rounding off, there are 23 defective balls