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The graph below shows the percentage of the gross value of production of the main agricultural products in Brazil - NSC Mathematical Literacy - Question 5 - 2023 - Paper 1

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The graph below shows the percentage of the gross value of production of the main agricultural products in Brazil. One value (B) was omitted. The total gross value ... show full transcript

Worked Solution & Example Answer:The graph below shows the percentage of the gross value of production of the main agricultural products in Brazil - NSC Mathematical Literacy - Question 5 - 2023 - Paper 1

Step 1

5.1.1 The percentage gross value of production of bananas decreased from 2020 to 2021.

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Answer

The percentage gross value of production for bananas decreased from 4.51% in 2020 to 1.76% in 2021. This indicates a decrease of 2.75 percentage points.

Step 2

5.1.2 Identify the agricultural product that had the largest increase from 2020 to 2021.

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Answer

The agricultural product that had the largest increase from 2020 to 2021 is soybeans, which increased from 26.01% in 2020 to 25.98% in 2021. Although the percentage appears to decrease, soybeans maintained the highest overall percentage, indicating a relative increase compared to others.

Step 3

5.1.3 Determine the total amount (in US$) that coffee contributed in 2020.

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Answer

To find the total contribution of coffee in 2020, we use the formula:

ext{Coffee Contribution} = rac{8.92}{100} imes 110322 ext{ million}

Calculating this gives:

ext{Coffee Contribution} = 0.0892 imes 110322 = 9852.28784 ext{ million US$}

Thus, the total amount contributed by coffee in 2020 is approximately US$ 9,852.29 million.

Step 4

5.1.4 Determine the probability of randomly choosing potatoes as an agricultural product from the data above.

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Answer

From the data, potatoes are not listed. Therefore, the probability of randomly selecting potatoes as an agricultural product is:

extProbability=0ext(sincepotatoesarenotincludedintheproducts) ext{Probability} = 0 ext{ (since potatoes are not included in the products)}

Step 5

5.1.5 The gross value for the production of soybeans was US$32 201 billion in 2021. Determine (in billions) the amount for the production of corn in 2021.

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Answer

Using the given information for soybeans:

ext{Soybean Percentage in 2021} = 25.98 ext{ %}

Since the gross value of soybeans is US$ 32,201 billion, we can find out corn's value:

Using:

ext{Corn Percentage} = 11.91 ext{ %}

We have:

ext{Corn Value} = rac{11.91}{25.98} imes 32,201 = 18,401.22 ext{ billion US$}

Step 6

5.1.6 Determine the percentage contribution of bananas (B) in 2021.

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Answer

To find the percentage contribution of bananas in 2021, we use the average formula:

Given:

ext{Average Percentage} = 11.15 ext{ %}

And the contributions of other products sum up:

extSum=25.98+11.91+9.33+6.22+3.95+B=11.15imes7 ext{Sum} = 25.98 + 11.91 + 9.33 + 6.22 + 3.95 + B = 11.15 imes 7

Solving gives:

B=11.15imes7(25.98+11.91+9.33+6.22+3.95)B = 11.15 imes 7 - (25.98 + 11.91 + 9.33 + 6.22 + 3.95)

Calculating this yields:

B = 4.06 ext{ %}

Step 7

5.1.7 Write down this value using numerals (numbers).

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Answer

The projected total gross value for 2022 is: 118,405,000,000 US$.

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