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For the nonextreme weather months a company charges 10 plus 4747 cents per kllowatt-hour for customers using 1300 kWh and plus 2788 cents per kWh above 1300 for customers using mote than 1300 kWh Complete paits (a)(c). Write the function that gives the monthly charge in dollars as a function of the kilowatt-hours used.

Sagot :

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The piecewise relationship for the total cost of electricity in terms of kWh used is:

  • For X ≤ 1300 kWh ; 4.10 + 3.747x

  • For X > 1300 kWh ; 52.811 + 5.788x

Let the number of kWh used be represented as x :

Customers using up 1300 kWh (≤ 1300 kWh) :

  • Fixed charge = $4.10
  • Charge per kWh = 3.747 cents

  • Total charge = 4.10 + 3.747x

Customers using more than 1300 kWh (> 1300) :

  • Fixed charge = $52.811

  • Charge per kWh = 5.788 cents

  • Total charge = 52.811 + 5.788x

Therefore, the total cost which for both sets of customers are :

  • For X ≤ 1300 kWh ; 4.10 + 3.747x

  • For X > 1300 kWh ; 52.811 + 5.788x

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