The graph shows Sarah's journey from her home to a shopping centre - OCR - GCSE Maths - Question 9 - 2019 - Paper 2
Question 9
The graph shows Sarah's journey from her home to a shopping centre.
(a) State an assumption that has been made when the graph was drawn.
(b) What is the distance... show full transcript
Worked Solution & Example Answer:The graph shows Sarah's journey from her home to a shopping centre - OCR - GCSE Maths - Question 9 - 2019 - Paper 2
Step 1
State an assumption that has been made when the graph was drawn.
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Answer
One possible assumption is that Sarah's journey is continuous without any stops, except for the intervals indicated on the graph.
Step 2
What is the distance from Sarah's home to the shopping centre?
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Answer
The distance from Sarah's home to the shopping centre is 40 km, as indicated by the graph where it reaches the 'shopping centre' line.
Step 3
Between which two times did Sarah stop? Explain how the graph shows this.
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Answer
From 11:00 to 12:00 shown on the graph by a horizontal line segment, which indicates that Sarah remained at the shopping centre during this time.
Step 4
Complete the graph to show this information.
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Answer
The graph should be modified to include a horizontal line from 11:00 to 13:00, indicating Sarah's stay at the shopping centre.
Step 5
Work out Sarah's average speed for her journey home. Give your answer in kilometres per hour.
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Answer
Sarah's journey home takes 40 minutes, which is rac{2}{3} hours.
