The completed table shows that for x = 1,2,2.5, and 3.5, the corresponding y values are 0.5, 1, 1.25, and 1.75 respectively This process illustrates how to apply a mathematical rule to generate data points. Symbolab is the best step by step calculator for a wide range of physics problems, including mechanics, electricity and magnetism, and thermodynamics It shows you the steps and explanations for each problem, so you can learn as you go The algebra section allows you to expand, factor or simplify virtually any expression you choose. The rule for this function is
Each value of y is found by subtracting 41 from the corresponding value of x This rule gives a linear relationship between x and y, which produces a straight line when graphed. The golden rule of algebra states do unto one side of the equation what you do to others Meaning, whatever operation is being used on one side of equation, the same will be used on the other side too. To complete the table using the rule y = 2x, we can substitute different values of x to find corresponding values of y For example, if x is 2, 4, 6, and 8, the values of y will be 1, 2, 3, and 4 respectively
(2, 1), (4, 2), (6, 3), (8, 4). The rule is y = x/2 This means that for each value of x, y is half of that value Let's apply this rule to the given x values Here's how we got these values For x = 8, y = 8/2 = 4 for x = 14, y = 14/2 = 7 for x = 3, y = 3/2 = 1.5 so, the completed table with x and corresponding y values according to the rule y = x/2 is as above.
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