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mandy9386
19.11.2020 •
Mathematics
A local business was looking for a cleaning service to work on their property. They narrowed their choices down to companies. Molly maids company charges a flat rate of $100 per hour. Sparkly clean company charges $80 per hour plus $260 equipment fee. A) determine and state the number of hours that must be worked for the cost of both companies to be the same. B) if it is estimated to take at least 30 hours to company the job, which company will be less expensive? Justify your answer.
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Ответ:
A. 13 hours
B. Sparkly clean company
Step-by-step explanation:
Step one:
given
Molly maids company
charges a flat rate of $100 per hour
let the total charges be y
let the number of hours be x
the expression for the total charges for Molly maids is
y=100x1
Step two:
Sparkly clean company
charges $80 per hour
equipment fee=$260
let the total charges be y
let the number of hours be x
the expression for the total charges for Sparkly clean is
y=80x+2602
A) determine and state the number of hours that must be worked for the cost of both companies to be the same.
Equate equations 1 and 2
100x=80x+260
solve for x, collect like terms
100x-80x=260
20x=260
divide both sides by 20
x=260/20
x=13 hours
B) if it is estimated to take at least 30 hours to company the job, which company will be less expensive
x=30
Molly maids company
y=100x
y=100*30
y=3000
$3000
Sparkly clean company
y=80x+260
y=80*30+260
y=2400+260
$2660
Sparkly clean company will be less expensive for a 30 hour work
Ответ:
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Step-by-step explanation: