A graph showing the monthly cost of an electricity bill for November using the energy companyName: Date:

**Synergy**is shown above. The monthly cost of an electricity bill using a different energy company

**UK Energy**is calculated as follows:

**Total Cost (£) = Fixed Monthly Charge of £5.00 + £0.14 x Units of energy used**

1) Draw a graph showing the total monthly cost using the energy company

**UK Energy**

2) Write down the Fixed Monthly Charge of

**Synergy**in pounds

3) Calculate the cost per unit of energy used for

**Synergy**, in pounds, up to 250 units of energy

4) What would be the total monthly cost with

**Synergy**if 250 units were used?

5) If the total monthly cost with

**UK Energy**is £33.00, how many units of energy were used?

6) Compare the total monthly cost of the two energy companies for different energy usages.

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3) The cost per unit of energy for

4) The total monthly cost of using 250 units with

5) 200 units of energy were used.

6)

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# Answers

2) The Fixed Charge of**Synergy**= £18.00

3) The cost per unit of energy for

**Synergy**= £0.04 , if up to 250 units of energy are used.

4) The total monthly cost of using 250 units with

**Synergy**= £28.00

5) 200 units of energy were used.

6)

**UK Energy**is cheaper when less than 130 or more than 298 units of energy are used. They cost the same when exactly 130 or 298 units of energy are used.

**Synergy**is cheaper in between 130 and 298 units of energy.

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