An electric company charges $ $11\mathrm{.}25$ per month plus $ $0\mathrm{.}36$ pe wlowatt$-$hour $($kWh$)$ for the first $300$ kWh used per month and $ $0\mathrm{.}09$ per kWh for anything over $300$ kWh used. a$.$ How much is owed for using $230$ kWh per month? b$.$ How much is owed for using $350$ kWh per month? c$.$ Write a piecewise function, C$($x$),$ where C is the cost charged per month as a function of the monthly kilowatt$-$hours used, x$.$ d$.$ Sketch the piecewise function. a$.$ What is the charge for using $230$ kWh in a month?

C$=$$

$($Simplify your answer. Type an integer or a decimal.$)$a$.$ What is the charge for using $230$ kWh in a month?

C$=$$ $94\mathrm{.}05^$

$($Simplify your answer. Type an integer or a decimal.$)$ b$.$ What is the charge for using $350$ kWh in a month?

C$=$$ $123\mathrm{.}75$

$($Simplify your answer. Type an integer or a decimal.$)$