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Complete the table, identify input/output values, and determine independent/dependent variables from the relationship between cars and wheels.
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1.1.1 Complete the missing values in the table.
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.
Calculate the missing value for 4 cars.
For 4 cars, the number of wheels will be .
The completed table is:
Number of cars (x) 1 2 3 4 6 Number of wheels (y) 4 8 12 16 24 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.
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