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The table shows the number of computers sold in Tom's shop each quarter from 2015 to 2017 - OCR - GCSE Maths - Question 8 - 2018 - Paper 5
Question 8
The table shows the number of computers sold in Tom's shop each quarter from 2015 to 2017. | Quarter | 1 | 2 | 3 | 4 | |---------|-----|-----|-----|-----| |... show full transcript
Worked Solution & Example Answer:The table shows the number of computers sold in Tom's shop each quarter from 2015 to 2017 - OCR - GCSE Maths - Question 8 - 2018 - Paper 5
Step 1
Complete this graph using the information for 2017.
Answer
To complete the graph for 2017, plot the following points based on the number of computers sold:
- Quarter 1: 58
- Quarter 2: 50
- Quarter 3: 60
- Quarter 4: 58
Ensure to accurately mark the height for each plot to represent the number of computers sold.
Step 2
Tom says the ratio of the total number of computers sold in quarter 1 compared to quarter 4 is 2 : 5. Is he correct? Show your reasoning.
Answer
First, calculate the total number of computers sold in quarter 1 and quarter 4:
- Total for Quarter 1: 31 (2015) + 41 (2016) + 58 (2017) = 130
- Total for Quarter 4: 34 (2015) + 30 (2016) + 58 (2017) = 122
Next, find the ratio of the total sales for quarter 1 to quarter 4:
This simplifies to approximately 1 : 1.07. Thus, Tom's claim that the ratio is 2 : 5 is incorrect.
Step 3
Make two comments about Tom's sales over the period 2015 to 2017.
Answer
Comment 1: There was an increase in total sales from 2015 to 2017, particularly notable in the first and third quarters.
Comment 2: The sales showed variability, with the second quarter of 2016 having lower sales, indicating a seasonal trend.
Step 4