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 f... 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 assumption that may have been made is that Sarah travels at a constant speed during her journey to the shopping centre.
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.
Step 3
Between which two times did Sarah stop? Explain how the graph shows this.
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Answer
From 11:30 to 12:00 shown on the graph by a horizontal line indicating a constant distance of 40 km from home.
Step 4
Complete the graph to show this information.
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Answer
Sarah's return journey starts at 13:00 and ends at 13:40. Draw a line from the shopping centre back to home in a straight diagonal that reaches the home point at 13:40.
Step 5
Work out Sarah's average speed for her journey home. Give your answer in kilometres per hour.
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Answer
The average speed can be calculated using the formula: