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18 February, 13:10

A lawn-service company charges a customer $60 for each time that they visit that customer in order to maintain the customer's lawn. In a month, the company works x days. The company is able to maintain n lawns per day. The company's profit for the entire month is P=60 nx-450 x. In this equation, what is the best explanation for the meaning of the coefficient?

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  1. 18 February, 16:37
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    60 accounts for the money earned per month.

    -450 accounts for costs incurred as explained below.

    Step-by-step explanation:

    The coefficient 60 accounts for the money earned per lawn per day. Thus if they maintain 5 lawns for 2 days each, we get a total earning of 60 * 5 * 2.

    This would equal $600.

    The coefficient - 450 accounts for the cost incurred when working for a day.

    This would most probably be the pay (per day rate) of the company employee maintaining the lawn. This coefficient thus accounts for the pay of the workers in the company.

    This is so because profit = total money earned - total money spent

    And with - 450 we would be accounting for the money spent on pay or other things such as loan of equipment and fertilizer use etc.
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