Question

The bill for the repair of a computer was $179. The cost for parts was $44, and the labor charge was $45 per hour. How many hours did it take to repair the computer? Need this is verbal form, define the variable, constants, rates and the equation solved too!!!

Answer 1

so, the repairman charges $45 for each hour of work, and $44 for the parts, now the parts are obtained only once, so that's a one-time charge of 44 bucks, let's see how the hours go.

1 hour of work................... 45 + 44(1)

2 hours of work................45 + 44(2)

3 hours of work................45 + 44(3)

4 hours of work................45 + 44(4)

x hours of work................45 + 44(x)

so the cost equation, with x = hours, C(x) = 45 + 44x.

what is x if C(x) = 179?

$\bf \stackrel{C(x)}{179}=44+45x\implies 135=45x\implies \cfrac{135}{45}=x\implies 3=x$