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Complete the table, identify input/output values, and determine independent/dependent variables from the relationship between cars and wheels.

Mathematics

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1.1.1 Complete the missing values in the table.

  1. Identify the relationship between the number of cars and the number of wheels.

    From the table, 1 car has 4 wheels, 2 cars have 8 wheels, and 3 cars have 12 wheels. This shows that the number of wheels is 4 times the number of cars.

    Number of wheels=4×Number of cars\text{Number of wheels} = 4 \times \text{Number of cars}
  2. Calculate the missing value for 4 cars.

    For 4 cars, the number of wheels will be 4×4=164 \times 4 = 16.

    The completed table is:

    Number of cars (x)12346
    Number of wheels (y)48121624

    1.1.2 Which values represent the input values?
    The input values are the values that are changed or chosen, which are the values in the first row of the table.

    • 1, 2, 3, 4, 6

    1.1.3 Which values represent the output values?
    The output values are the results obtained from the input values, which are the values in the second row of the table.

    • 4, 8, 12, 16, 24

    1.1.4 What are the two variables that are represented in the table?
    The two variables are listed in the table headers.

    • Number of cars (x) and Number of wheels (y)

    1.1.5 Which variable represents the Independent variable? Provide a reason for your answer.
    The independent variable is the one that is controlled or changed, and it affects the other variable.

    • Number of cars (x). The number of cars determines the total number of wheels.

    1.1.6 Which variable represents the dependent variable? Provide a reason for your answer.
    The dependent variable is the one that is measured or observed, and its value depends on the independent variable.

    • Number of wheels (y). The total number of wheels depends on the number of cars.

    1.1.7 Write a verbal statement that relates the number of cars to the number of wheels in general.
    This statement describes the relationship in words.

    • The total number of wheels is four times the number of cars.

    1.1.8 Write a number sentence that relates the number of cars to the number of wheels in general.
    This is a mathematical equation representing the relationship.

    • y=4xy = 4x
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