One of the many expenses associated with a home swimming pool is the electrical power required to regularly pump the water through a cleaning filter. The pump in my backyard has a power of$\mathrm{<font><font>1</font></font>}\mathrm{<font><font>.</font></font>}\mathrm{<font><font>5</font></font>}$ hp and it runs for about $\mathrm{<font><font>1</font></font>}\mathrm{<font><font>0</font></font>}$ hours each day during the Summer. In Joules, the energy this pump will use in one Summer week is $\mathrm{<font><font>2</font></font>}\mathrm{<font><font>.</font></font>}\mathrm{<font><font>8</font></font>}$x$\mathrm{<font><font>1</font></font>}\mathrm{<font><font>0</font></font>}<font><font>^</font></font>\mathrm{<font><font>8</font></font>}$ J$<font><font>.</font></font>$ 

A$\mathrm{<font><font>)</font></font>}$ In American utilities, it is most common to express electrical energy use in units of kWh $<font><font>=</font></font>$ kilowatt$<font><font>-</font></font>$hours$<font><font>=</font></font>$ kW$\mathrm{<font><font>*</font></font>}$hr$<font><font>.</font></font>$ As the name implies, $\mathrm{<font><font>1</font></font>}$ kWh $<font><font>=</font></font>\mathrm{<font><font>1</font></font>}$ kilowatt times $\mathrm{<font><font>1</font></font>}$ hour. Calculate the amount of energy used by my pool pump in a week in kWh$<font><font>.</font></font>$ 

B$\mathrm{<font><font>)</font></font>}$ My local electric company $\mathrm{<font><font>(</font></font>}$Georgia Power$\mathrm{<font><font>)</font></font>}$ charges me $\mathrm{<font><font>6</font></font>}\mathrm{<font><font>.</font></font>}\mathrm{<font><font>6</font></font>}$ cents per kWh of electrical energy as long as I don't use more than $\mathrm{<font><font>4</font></font>}\mathrm{<font><font>4</font></font>}\mathrm{<font><font>5</font></font>}\mathrm{<font><font>0</font></font>}$ kWh per week.$\mathrm{<font><font>(</font></font>}$If I use more than$\mathrm{<font><font>4</font></font>}\mathrm{<font><font>5</font></font>}\mathrm{<font><font>5</font></font>}\mathrm{<font><font>0</font></font>}$ kWh in one week, then the extra energy costs $\mathrm{<font><font>1</font></font>}\mathrm{<font><font>1</font></font>}$ cents per kWh$<font><font>.</font></font>\mathrm{<font><font>)</font></font>}$ For simplicity, pretend that the rest of my house doesn't use any electricity supplied by Georgia Power. Calculate how many dollars it costs me per Summer week to run my pool pump.