The petrol consumption of a car, in litres per 100 kilometres, is given by the formula
Petrol consumption = \( \frac{100 \times \text{Number of litres of petrol used}}{\text{Number of kilometres travelled}} \)
Nathan’s car travelled 148 kilometres, correct to 3 significant figures - Edexcel - GCSE Maths - Question 16 - 2017 - Paper 3
Question 16
The petrol consumption of a car, in litres per 100 kilometres, is given by the formula
Petrol consumption = \( \frac{100 \times \text{Number of litres of petrol us... show full transcript
Worked Solution & Example Answer:The petrol consumption of a car, in litres per 100 kilometres, is given by the formula
Petrol consumption = \( \frac{100 \times \text{Number of litres of petrol used}}{\text{Number of kilometres travelled}} \)
Nathan’s car travelled 148 kilometres, correct to 3 significant figures - Edexcel - GCSE Maths - Question 16 - 2017 - Paper 3
Step 1
Calculate petrol consumption using Nathan's data
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Answer
To find the petrol consumption of Nathan's car, we will use the formula provided:
Petrol consumption=kilometres travelled100×litres of petrol
Substituting the known values:
Petrol consumption=148100×11.8
We calculate:
148100×11.8≈7.97extlitresper100kilometres
This value rounds to 8 litres per 100 kilometres.
Step 2
Assess Nathan's statement
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Answer
Nathan claims that his car used less than 8 litres of petrol per 100 kilometres. However, our calculation shows that the petrol consumption is approximately 7.97 litres per 100 kilometres. This value rounds to 8 litres;
Thus, Nathan's statement is indeed incorrect as the petrol consumption can be rounded to 8 litres per 100 kilometres, indicating that it is not less than 8.
