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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 20 - 2018 - Paper 2
Question 20
The table shows the number of computers sold in Tom's shop each quarter from 2015 to 2017. Quarter 1 2 3 4 2015 31 33 41 25 2016 20 27 47 36 20... 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 20 - 2018 - Paper 2
Step 1
Complete this graph using the information for 2017.
Answer
To complete the graph using the information from 2017, plot the following points based on the number of computers sold:
- Quarter 1: 27
- Quarter 2: 40
- Quarter 3: 58
- Quarter 4: (No data provided, so this will remain blank)
Make sure to draw lines connecting these points for visual continuity and label the axes clearly.
Step 2
Tom adds the three results for quarter 1 and he adds the three results for quarter 4. 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
To determine if Tom is correct, we must calculate the total number of computers sold in quarter 1 and quarter 4 from 2015 to 2017:
-
Quarter 1 totals:
- 2015: 31
- 2016: 20
- 2017: 27
- Total for Quarter 1: 31 + 20 + 27 = 78
-
Quarter 4 totals:
- 2015: 25
- 2016: 36
- 2017: (No data provided, so we assume it remains blank)
- Total for Quarter 4: 25 + 36 = 61
Now we can find the ratio of the total computers sold in Quarter 1 to those sold in Quarter 4:
o = \frac{78}{61}
Thus the ratio is approximately 78:61 or simplified. Since 2:5 simplifies to about 0.4, it implies that Tom's assertion of a 2:5 ratio is incorrect.