Jocelyn needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged her $77 for parts. The total was $290.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Let x be the cost of labor per hour.
The total cost Jocelyn paid includes the cost of parts and the cost of labor, which is calculated by multiplying the cost of labor per hour by the number of hours worked. Therefore, an equation can be set up as:
77 + 4.75x = 290.75
Subtracting 77 from both sides:
4.75x = 213.75
Dividing both sides by 4.75:
x = 45
Therefore, the cost of labor per hour is $45.
The equation will be
4.75x + 77 = 290.75
Solve for x to get
4.75x = 213.75 = 45
x=45
The cost f the labor per hour is $45.
Yes, that is correct! We arrived at the same answer.
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To write the equation, we can use the fact that the total cost is the sum of the cost for parts and the cost for labor.
Let's assume that the cost of labor per hour is represented by "x".
The technician worked on the computer for 4.75 hours, so the cost for labor would be 4.75 times the cost per hour: 4.75x
The cost for parts is given as $77.
So, the total cost is the sum of the cost for labor and the cost for parts, which is $290.75.
Therefore, the equation can be written as:
4.75x + 77 = 290.75
To solve this equation for x, we need to isolate the variable.
First, we subtract 77 from both sides of the equation:
4.75x + 77 - 77 = 290.75 - 77
4.75x = 213.75
Next, we divide both sides of the equation by 4.75 to solve for x:
4.75x / 4.75 = 213.75 / 4.75
x = 45
Therefore, the cost of labor per hour, represented by "x", is $45.