Question

AmhI does computer repairs in his home he charges a set fee to analyze the problem. Plus an hourly rate for his labor. The table below show c the total charge to his customers. Based on h the number of hours of labor required. Which equation could AmhI use to determine his costumers total charge. Number of hours (h) Total charge (c) 2 $39 4 $64 6 $87

Answer 1

The equation for total charge to his customer for 2 hours is,

`39=2h+f`

For 4 hours,

`63=f+4h`

Simplify the equation to obtain the value of h.

`\begin{gathered} 2h+f-(f+4h)=39-63 \\ -2h=-24 \\ h=12 \end{gathered}`

Substitute 12 for h in the equation 2h + f =39 to obtain the value of f.

`\begin{gathered} 2\cdot12+f=39 \\ f=39-24 \\ =15 \end{gathered}`

So equation to determine his customers total charge is,

`C=15+12h`