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Part i: Plot a bar graph representing the information.

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Answers

3 parts
ii

2023\mathbf{2023}

iii

72\mathbf{72}

iv

80%\mathbf{80\%}

Step-by-step solution

8 steps

Part i

Plot a bar graph representing the information.

To plot a bar graph:

  • Draw a horizontal axis (x-axis) and label it "Year". Mark the years 2019, 2020, 2021, 2022, and 2023 at equal intervals.
  • Draw a vertical axis (y-axis) and label it "Number of Cars Sold". Choose an appropriate scale, for example, from 0 to 100 with intervals of 10.
  • For each year, draw a bar whose height corresponds to the number of cars sold for that year:
    • 2019: Bar height up to 50
    • 2020: Bar height up to 65
    • 2021: Bar height up to 80
    • 2022: Bar height up to 75
    • 2023: Bar height up to 90
  • Ensure the bars are of equal width and have consistent spacing between them.

Part ii

2023\mathbf{2023}

Identify the year with the highest sales.

  1. Examine the "Cars sold" column in the table.

    The sales figures are 50, 65, 80, 75, and 90.

  2. Identify the maximum value.

    The highest number of cars sold is 90.

  3. Determine the corresponding year.

    The year with 90 cars sold is 2023.
    The year with the highest sales is 2023\boxed{\mathbf{2023}}.

Part iii

72\mathbf{72}

Calculate the average number of cars sold per year.

  1. Sum the total number of cars sold over the five years.

    Total Cars Sold=50+65+80+75+90=360\text{Total Cars Sold} = 50 + 65 + 80 + 75 + 90 = 360

  2. Divide the total by the number of years (5).

    Average Cars Sold=Total Cars SoldNumber of Years\text{Average Cars Sold} = \frac{\text{Total Cars Sold}}{\text{Number of Years}} Average Cars Sold=3605=72\text{Average Cars Sold} = \frac{360}{5} = 72

    The average number of cars sold per year is 72\boxed{\mathbf{72}}.

Part iv

80%\mathbf{80\%}

Determine the percentage increase in sales from 2019 to 2023.

  1. Identify the sales in 2019 and 2023.

    Sales in 2019=50\text{Sales in 2019} = 50 Sales in 2023=90\text{Sales in 2023} = 90

  2. Calculate the increase in sales.

    Increase in Sales=Sales in 2023−Sales in 2019=90−50=40\text{Increase in Sales} = \text{Sales in 2023} - \text{Sales in 2019} = 90 - 50 = 40

  3. Calculate the percentage increase using the formula

    IncreaseOriginal Sales×100%\frac{\text{Increase}}{\text{Original Sales}} \times 100\%.

    Percentage Increase=4050×100%\text{Percentage Increase} = \frac{40}{50} \times 100\% Percentage Increase=0.8×100%=80%\text{Percentage Increase} = 0.8 \times 100\% = 80\%

    The percentage increase in sales from 2019 to 2023 is 80%\boxed{\mathbf{80\%}}.

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