Miguel is moving and wants to estimate what his electricity bill will be in his new apartment. He looks at old bills and sees that he uses around 700 kWh of electricity each month. The utility company charges $6 each month plus 6.726 cents per kWh for the first 500 kWhs and 8.136 cents for each kilowatt-hours above 500. How much will Miguel pay for 700 kWh of electricity?

Answer: Miguel would pay $55.902

Step-by-step explanation:

The utility company charges $6 each month plus 6.726 cents per kWh for the first 500 kWhs and 8.136 cents for each kilowatt-hours above 500. Converting 6.726 cents and 8.136 cents to dollars, it becomes $0.06726 and 0.08136 respectively. This means that if Miguel uses x kilowatt-hours in a month, the total amount that he would pay is

6 + (500 * 0.06726) + 0.08136 (x - 500)

= 6 + 33.63 + 0.08136 (x - 500)

= 39.63 + 0.08136 (x - 500)

Therefore, if Miguel uses 700 kWh of electricity, the total amount that he would pay is

39.63 + 0.08136 (700 - 500)

= 39.63 + 0.08136 * 200

= 39.63 + 16.272

= $55.902