Study the pie charts above and answer the questions that follow. 5.1.1 Write down ONE possible data collection method that was used to gather the above data. 5.1.2 Calculate the percentage allocated for yard trimmings. 5.1.3 Determine the percentage allocated for textiles. 5.1.4 Calculate (in tons) the total amount of plastic recycled in 2015. 5.1.5 Give ONE possible example of a product that could be recycled under the metals category. 5.1.6 State another type of graph that could be used to represent the data above. 5.1.7 Determine, as a decimal, the probability of randomly selecting a material in the 'other' category that is NOT textiles.

NSC Mathematical Literacy Plans: Study the pie charts above and a

Study the pie charts above and answer the questions that follow - NSC Mathematical Literacy - Question 5 - 2019 - Paper 1

Question 5

Study the pie charts above and answer the questions that follow. 5.1.1 Write down ONE possible data collection method that was used to gather the above data. 5.1.2... show full transcript

Worked Solution & Example Answer:Study the pie charts above and answer the questions that follow - NSC Mathematical Literacy - Question 5 - 2019 - Paper 1

Step 1

Write down ONE possible data collection method that was used to gather the above data.

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Answer

One possible data collection method that could have been used to gather the above data is a survey.

Step 2

Calculate the percentage allocated for yard trimmings.

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Answer

To calculate the percentage allocated for yard trimmings, we can use the formula:

$ext{Percentage} = rac{ ext{Yard Trimmings}}{ ext{Total Material}} imes 100$

Substituting the values:

$ext{Percentage} = rac{3.4}{91.16} imes 100 = 3.73\%$

Step 3

Determine the percentage allocated for textiles.

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Answer

The percentage allocated for textiles can be directly taken from the pie chart, which shows it as 1.6%.

Step 4

Calculate (in tons) the total amount of plastic recycled in 2015.

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Answer

To calculate the total amount of plastic recycled in 2015, use the formula:

$ext{Total Plastic} = ext{Total Material} imes rac{ ext{Plastic Percentage}}{100}$

Substituting the values:

$ext{Total Plastic} = 91.16 imes rac{3.4}{100} = 3.1 \text{ million tons}$

Step 5

Give ONE possible example of a product that could be recycled under the metals category.

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Answer

An example of a product that could be recycled under the metals category is an aluminum can.

Step 6

State another type of graph that could be used to represent the data above.

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Answer

Another type of graph that could be used to represent the data above is a bar graph.

Step 7

Determine, as a decimal, the probability of randomly selecting a material in the 'other' category that is NOT textiles.

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Answer

To find this probability, we first determine the total percentage in the 'other' category:

$ext{Other Category} = 100 ext{%} - (3.4 ext{% + }1.6 ext{% + }9 ext{% + }1.7 ext{% + }11.2 ext{% + }49.7 ext{% + }3.3 ext{%}) = 30.1 ext{%}$

Then, the probability of selecting a material that is NOT textiles from the 'other' category is:

$P( ext{NOT textiles}) = rac{30.1}{100} = 0.301$

Study the pie charts above and answer the questions that follow - NSC Mathematical Literacy - Question 5 - 2019 - Paper 1

Worked Solution & Example Answer:Study the pie charts above and answer the questions that follow - NSC Mathematical Literacy - Question 5 - 2019 - Paper 1

Write down ONE possible data collection method that was used to gather the above data.

Calculate the percentage allocated for yard trimmings.

Determine the percentage allocated for textiles.

Calculate (in tons) the total amount of plastic recycled in 2015.

Give ONE possible example of a product that could be recycled under the metals category.

State another type of graph that could be used to represent the data above.

Determine, as a decimal, the probability of randomly selecting a material in the 'other' category that is NOT textiles.

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