Otis paints the interior of a home for $45 per hour plus $75 for supplies. Shireen paints the interior of a home for $55 per hou r plus $30 for supplies. The equations give the total cost for x hours of work for each painter. For how many hours of work are Otis's and Shireen's costs equal? What is the cost for this number of hours? Y= 45x + 75 - Otis Y= 55x + 30 - Shireen
2 answers:
Step-by-step explanation:
you should only make one equation:
75 + 45x = 30 + 55x
subtract the 30 frim both sides, then subtract 45x from both sides. you are left with:
45 = 10x
Divide by 10 and get:
4.5 = x
After 4.5 hours, the cost is equal for either worker.
Answer:
The cost will be equal at 4.5 hrs
Step-by-step explanation:
Otis paints the interior of a home for $45 per hour plus $ 75. Shireen paints the interior of a home for $ 55 per hour plus $30.
The total cost Y of Otis and Shireen's for x hours are
Y= 45x + 75
Y= 55x + 30
For the cost to be equal
45x + 75 = 55x + 30
collect like terms
75 - 30 = 55x - 45x
45 = 10x
divide both sides by 10
x = 45/10
x = 4.5 hrs
The cost will be equal at 4.5 hrs
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Step-by-step explanation:
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