The table below shows data (measured in kilotonnes) on how municipal waste was dealt with in Ireland from 2005 to 2011 - Leaving Cert Mathematics - Question 8(a) - 2020
Question 8(a)
The table below shows data (measured in kilotonnes) on how municipal waste was dealt with in Ireland from 2005 to 2011.
| Year | Total Waste Collected (kilotonnes) ... show full transcript
Worked Solution & Example Answer:The table below shows data (measured in kilotonnes) on how municipal waste was dealt with in Ireland from 2005 to 2011 - Leaving Cert Mathematics - Question 8(a) - 2020
Step 1
Find the difference between the percentage of the waste collected which was sent to landfill in 2005 and the percentage of waste sent to landfill in 2011.
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Answer
To find the percentage of waste sent to landfill in 2005:
Percentage for 2005:
rac{1833}{2779} imes 100 = 65.95\%
Percentage for 2011:
rac{1344}{2547} imes 100 = 52.77\%
Difference in percentages:
65.95%−52.77%=13.18%
Thus, the difference is approximately 13.2%.
Step 2
Find the mean amount of waste collected each year, from 2005 to 2011.
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Answer
To calculate the mean:
Total waste collected from 2005 to 2011:
2779+3100+3175+3104+2825+2580+2547=20110
Number of years = 7.
Mean calculation:
Mean=720110=2872.857≈2872.9
Therefore, the mean amount of waste collected each year is approximately 2872.9 kilotonnes.
Step 3
Find the amount of waste sent to landfill in 2012.
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Answer
Given that the mean amount of waste sent to landfill from 2009 to 2012 is 1398 kilotonnes:
Total landfill waste for 4 years:
1724+1496+1344+x=1398×4
Calculate total:
1724+1496+1344+x=5592
Solve for x:
x=5592−(1724+1496+1344)=5592−4564=1028
Thus, the amount of waste sent to landfill in 2012 is 1028 kilotonnes.
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