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belka [17]
4 years ago
7

7. Charlotte has a babysitting service and charges $12.50 per hour.

Mathematics
1 answer:
a_sh-v [17]4 years ago
5 0

Answer:

Step-by-step explanation:

Charlotte's revenue earned : R = 12.50h.....where R = revenue earned and h represents hrs worked

=======================

break even point :

12.50h = 45 + 2.50h

12.50h - 2.50h = 45

10h = 45

h = 45/10

h = 4.5 <== she would have to work 4.5 hrs to break even

========================

revenue - expenses = profit / loss

for 5 hrs...h = 5                                        for 3.5 hrs

12.50(5) - (45 + 2.5(5)) =                    12.50(3.5) - (45 + 2.5(3.5)) =

62.5 - (45 + 12.5) =                             43.75 - (45 + 8.75) =

62.5 - 57.5 = $ 5 profit                       43.75 - 53.75 = -10....$ 10 loss

for 4 hrs                                                for 7 hrs

12.50(4) - (45 + 2.50(4)) =                    12.50(7) - (45 + 2.50(7)) =

50 - (45 + 10) =                                     87.5 - (45 + 17.5) =

50 - 55 = - 5.....$ 5 loss                        87.5 - 62.5 = $ 25 profit

==================================

12.50h - (45 + 2.50h) = 50

12.50h - 45 - 2.50h = 50

10h - 45 = 50

10h = 50 + 45

10h = 95

h = 95/10

h = 9.5 <=== she would have to work 9.5 hrs to make a $ 50 profit

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