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A company discovers that to produce x = 740 new electronic parts, it will cost y = $70020. Toproduce 500 new electronic parts, it will cost $50100.Compute the slope of the costs and choose the most accurate statement from the following:O Costs are increasing at a rate of $83 per item.O Costs are decreasing at a rate of $88 per item.O Costs are decreasing at a rate of $82 per item.O Costs are increasing at a rate of $82 per item.O Costs are decreasing at a rate of $83 per item.Costs are increasing at a rate of $88 per item.Question Help: Video Message instructorSubmit QuestionJump to Answer

Answer :

The slope m of the costs is the difference in y divided by the difference in x:

[tex]m=\frac{70020-50100}{740-500}[/tex]

which can be simplified to

[tex]m=83[/tex]

Hence, the costs are increasing at a rate of $83/item.

Therefore, the correct option to choose is the very first one.