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An appliance repairman charges $75 to come to your house and $35 per hour. During one week, he visited 9 homes and his total weekly income was $1305. How many hours did he spend working on appliances?
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Dec 7, 2023
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An appliance repairman charges $75 to come to your house and $35 per hour. During one week, he visited 9 homes and his total weekly income was $1305. How many hours did he spend working on appliances?
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Olaniyi
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Answer is 18 hours worked
Step by step:
Equation y = mx + b
Our total income (y) is $1305
Our rate (m) is $35
Our y intercept (b) is $75 * 9 home visits
Our unknown hours worked is X
1305 = 35x + (75*9)
1305 = 35x + 675
Subtract 675 from both sides to isolate the variable
1305 - 675 = 35x + 675 - 675
$630 = 35x
Divide both sides by 35 to solve for x
630/35 = 35/35 x
18 = x hours worked
Check your work
Substitute your x value into the equation
1305 = 35x + (75*9)
1305 = 35*18 + (75*9)
1305 = 630 + 675
1305 = 1305
Problem solved!
Meziane
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Dec 11, 2023
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Meziane
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