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Draw a combined bar and line graph showing monthly spending and saving. What is the average yearly savings?

Mathematics

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Here are the solutions to your questions:

1. & 2. Draw and Display a combined bar and line graph:
To create a combined bar and line graph:

  • Step 1: Set up the axes. Draw a horizontal axis (x-axis) for the months (J, F, M, A, M, J, J, A, S, O, N, D). Draw a vertical axis (y-axis) for the amount, ranging from 0 to at least 700 to accommodate both spending and saving values. Label the y-axis "Amount".
  • Step 2: Plot spending as a bar graph. For each month, draw a bar whose height corresponds to the spending value for that month. For example, for January, draw a bar up to 350.
  • Step 3: Plot saving as a line graph. For each month, place a point at the height corresponding to the saving value for that month. For example, for January, place a point at 400. Once all points are plotted, connect them with a line.
  • Step 4: Add a legend and title. Include a legend to distinguish between the bars (spending) and the line (saving). Give the graph a clear title, such as "Monthly Spending and Saving".

3. What is the average yearly savings?

  1. Sum all the monthly savings.

    Total Savings=400+500+400+400+300+400+500+400+600+400+500+700=5900\text{Total Savings} = 400 + 500 + 400 + 400 + 300 + 400 + 500 + 400 + 600 + 400 + 500 + 700 = 5900
  2. Divide the total savings by the number of months (12).

    Average Savings=590012=491.67\text{Average Savings} = \frac{5900}{12} = 491.67

    The average yearly savings is 491.67\boxed{\text{491.67}}

    4. Name the month with the highest expenditure.
    By examining the "spending" row, the highest value is 490. This occurs in November.
    The month with the highest expenditure is November\boxed{\text{November}}

    5. Which month had the most saving?
    By examining the "saving" row, the highest value is 700. This occurs in December.
    The month with the most saving is December\boxed{\text{December}}

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