SOLUTION: a computer technician keeps track of his earnings throughout each month. the technician observes that his earnings are a linear function of the number of hours he works during the

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Question 740210: a computer technician keeps track of his earnings throughout each month. the technician observes that his earnings are a linear function of the number of hours he works during the month. the technician finds that when he works 55 hours during the month he earns 2125. and when he works 30 hrs hea earns 585.
write a linear function to model the relationship between the number of hours worked and the money earned. and explain the meaning of slope in the contexts of the problem.
I drew a chart with hrs 30 55
earns 585 2125

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You are given the points ( 55, 2125 ) and ( 30, 585 )
Hours are plotted on the x-axis and Earnings are
plotted on the y-axis.
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Use the general point-slope formula
+%28+E+-+585+%29+%2F+%28+h+-+30+%29+=+%28+2125+-+585+%29+%2F+%28+55+-+30+%29+
+%28+E+-+585+%29+%2F+%28+h+-+30+%29+=++1540++%2F++25+
+%28+E+-+585+%29+%2F+%28+h+-+30+%29+=++308++%2F++5+
Multiply both sides by +5%2A%28+h+-+30+%29+
+5%2A%28+E+-+585+%29+=+308%2A%28+h+-+30+%29+
+5E+-+2925+=+308h+-+9240+
+5E+=+308h+-+6315+
+E+=+61.6h+-+1263+ answer
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Check:
Does it go through ( 30,585 ) ?
+E+=+61.6h+-+1263+
+585+=+61.6%2A30+-+1263+
+585+=+1848+-+1263+
+585+=+585+
OK
Does it go through ( 55, 2125 ) ?
+E+=+61.6h+-+1263+
+2125+=+61.6%2A55+-+1263+
+2125+=+3388+-+1263+
+2125+=+2125+
OK