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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 a - 2020
Question 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 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.
Answer
To find the percentage of waste sent to landfill, we can use the formula:
ext{Percentage} = rac{ ext{Waste Sent to Landfill}}{ ext{Total Waste Collected}} imes 100For 2005:
ext{Percentage}_{2005} = rac{1833}{2779} imes 100 \\ = 65.95\%For 2011:
ext{Percentage}_{2011} = rac{1344}{2547} imes 100 \\ = 52.77\%Now, finding the difference:
Rounded to one decimal place, the difference is:
Difference = 13.2%
Step 2
Find the mean amount of waste collected each year, from 2005 to 2011.
Answer
To find the mean amount of waste collected, we first sum the total waste collected from 2005 to 2011:
The number of years is 7, so the mean is:
ext{Mean} = rac{20110}{7} = 2872.857 \\Rounded to one decimal place, the mean amount of waste collected is:
Mean Amount = 2872.9 kt
Step 3
Find the amount of waste sent to landfill in 2012.
Answer
Given that the mean amount of waste sent to landfill from 2009 to 2012 is 1398 kilotonnes:
ext{Mean} = rac{1724 + 1496 + 1344 + x}{4} = 1398 \\To find x, we first calculate the total sent to landfill:
Now solving for x:
Thus, the amount of waste sent to landfill in 2012 is:
Amount = 1028 kt