an electrician charges a flat fee plus an hourly rate for a service call. she charges a total of $94 for a 3…

an electrician charges a flat fee plus an hourly rate for a service call. she charges a total of $94 for a 3 - hour service call on monday and $130 for a 5 - hour service call on tuesday. how much should she charge for a 2 - hour service call?\n$36\n$52\n$76\n$98

an electrician charges a flat fee plus an hourly rate for a service call. she charges a total of $94 for a 3 - hour service call on monday and $130 for a 5 - hour service call on tuesday. how much should she charge for a 2 - hour service call?\n$36\n$52\n$76\n$98

Answer

Explanation:

Step1: Set up equations

Let the flat - fee be $x$ and the hourly rate be $y$. For the 3 - hour service call on Monday: $x + 3y=94$. For the 5 - hour service call on Tuesday: $x + 5y=130$.

Step2: Subtract the first equation from the second

$(x + 5y)-(x + 3y)=130 - 94$. $x+5y - x - 3y=36$. $2y=36$, so $y = 18$.

Step3: Find the flat - fee $x$

Substitute $y = 18$ into the first equation $x+3y = 94$. $x+3\times18=94$. $x+54 = 94$, then $x=94 - 54=40$.

Step4: Calculate the cost for a 2 - hour service call

The cost $C$ for a 2 - hour service call is $C=x + 2y$. Substitute $x = 40$ and $y = 18$: $C=40+2\times18=40 + 36=76$.

Answer:

$76$