Andrew sells vintage clothing at a flea market at which he pays $150 per day to rent a table plus $10 per hour to his...

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Andrew sells vintage clothing at a flea market at which he pays $150 per day to rent a table plus $10 per hour to his assistant. He sells an average of $78 worth of clothes per hour. Assuming no other costs, which of the functions below best represents profit per day, \(P\), in terms of hours, \(h\), that the flea market table is open for business?

A. \(P(h)=238-10h\)
B. \(P(h)=72-10h\)
C. \(P(h)=68h-150\)
D. \(P(h)=78h-160\)
E. \(P(h)=-160h+78\)

OA C

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Cost of renting a table = $150
Cost of paying assistant = $10 per hour
Sales = $78 per hour

Assuming no other cost
Profit per hour = sales -total costs
=78h - ( 150 + 10h )
=78h - 150 - 10h
=68h - 150

Answer = c

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AAPL wrote:
Sat Feb 15, 2020 4:20 pm
Manhattan Prep

Andrew sells vintage clothing at a flea market at which he pays $150 per day to rent a table plus $10 per hour to his assistant. He sells an average of $78 worth of clothes per hour. Assuming no other costs, which of the functions below best represents profit per day, \(P\), in terms of hours, \(h\), that the flea market table is open for business?

A. \(P(h)=238-10h\)
B. \(P(h)=72-10h\)
C. \(P(h)=68h-150\)
D. \(P(h)=78h-160\)
E. \(P(h)=-160h+78\)

OA C

His fixed cost = $150

P(h)= earnings - cost(fixed + variable)
P(h)=78h - (150 + 10h)
P(h)=68h-150

Regards!