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The average monthly retail price for orange juice per litre in Canadian dollars (CAD) for 2018 to 2021 is shown on the ANSWER SHEET - NSC Mathematical Literacy - Question 4 - 2022 - Paper 1

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The average monthly retail price for orange juice per litre in Canadian dollars (CAD) for 2018 to 2021 is shown on the ANSWER SHEET. The actual data values for each ... show full transcript

Worked Solution & Example Answer:The average monthly retail price for orange juice per litre in Canadian dollars (CAD) for 2018 to 2021 is shown on the ANSWER SHEET - NSC Mathematical Literacy - Question 4 - 2022 - Paper 1

Step 1

Calculate (in CAD) the difference between the price of orange juice in January 2019 and in February 2019.

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Answer

To find the difference, subtract the price in January from the price in February:

Price in February 2019: CAD 4.10 Price in January 2019: CAD 4.30

Difference = CAD 4.10 - CAD 4.30 = CAD -0.20. The difference is CAD -0.20.

Step 2

Write down the month and year in which the price of orange juice was at its lowest.

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Answer

The price of orange juice was at its lowest in August 2020.

Step 3

State the month and years in which the price of orange juice was exactly the same.

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Answer

The price of orange juice was exactly the same in November 2018 and November 2019.

Step 4

Determine the median monthly price of orange juice for 2020.

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Answer

To determine the median price, arrange the monthly prices for 2020 and find the middle value:

The monthly prices for 2020 are: CAD 4.06, 4.13, 4.43, 4.43, 4.26, 4.21, 4.18, 4.17, 4.15, 4.27, 4.28, 4.24.

The median price is CAD 4.26.

Step 5

Describe the trend of the price of orange juice from February 2018 to July 2018.

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Answer

From February 2018 to July 2018, the price of orange juice experienced a generally increasing trend. It started at CAD 4.06 in February 2018 and increased gradually, reaching CAD 4.43 in July 2018.

Step 6

Determine the year-on-year percentage increase from March 2020 to March 2021.

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Answer

Price in March 2020: CAD 4.30. Price in March 2021: CAD 4.46.

Using the formula for percentage increase:

[ Percentage , Increase = \frac{New , value - Old , value}{Old , value} \times 100 ]

[ Percentage , Increase = \frac{4.46 - 4.30}{4.30} \times 100 = \frac{0.16}{4.30} \times 100 = 3.72% ]

The year-on-year percentage increase from March 2020 to March 2021 is approximately 3.72%.

Step 7

The analyst's prediction for the price of orange juice for the rest of the year 2021.

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Answer

The predicted prices for the remaining months in 2021 are as follows:

  • April: CAD 4.25
  • May: CAD 4.28
  • June: CAD 4.30
  • July: CAD 4.35
  • August: CAD 4.35
  • September: CAD 4.27
  • October: CAD 4.28
  • November: CAD 4.26
  • December: CAD 4.24

These values can be used to create a line graph.

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