Photo AI

An electricity company charges the same fixed amount for each unit of electricity used - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 3

Question icon

Question 9

An-electricity-company-charges-the-same-fixed-amount-for-each-unit-of-electricity-used-Edexcel-GCSE Maths-Question 9-2022-Paper 3.png

An electricity company charges the same fixed amount for each unit of electricity used. David uses this graph to work out the total cost of the electricity he has us... show full transcript

Worked Solution & Example Answer:An electricity company charges the same fixed amount for each unit of electricity used - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 3

Step 1

Work out the gradient of the straight line.

96%

114 rated

Answer

To find the gradient of the line, we use the formula:

ext{Gradient} = rac{ ext{Change in Cost}}{ ext{Change in Number of Units}}

From the graph, we can select two points:

  • Point 1 (0 units, £0)
  • Point 2 (100 units, £20)

Calculating the differences:

  • Change in Cost = £20 - £0 = £20
  • Change in Number of Units = 100 - 0 = 100

Now substituting these into the formula gives:

ext{Gradient} = rac{20}{100} = 0.2

Thus, the gradient of the straight line is 0.2.

Step 2

What does the gradient of this line represent?

99%

104 rated

Answer

The gradient of the line represents the cost per unit of electricity used. In this case, a gradient of 0.2 indicates that each unit of electricity costs £0.20.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;