Maths-
General
Easy

Question

Use the function Y = 1.5X + 3 to complete the table of values.
X        
Y 9 6 0 -3

Hint:

To complete the table, we need to calculate the value of x corresponding to the value of y according to given equation. First we will convert the equation ‘in terms of y’ so that it is easy to calculate the values of x for every y. Then we put the value of x which we found in the table.

The correct answer is: -4


    Step by step solution:
    The given equation is
    Y = 1.5x + 3
    We rewrite this equation with ‘x’ on one side of the equation so that it is easy to find its value.
    table attributes columnspacing 1em end attributes row cell 1.5 x equals y minus 3 end cell row cell not stretchy rightwards double arrow x equals fraction numerator 1 over denominator 1.5 end fraction left parenthesis y minus 3 right parenthesis end cell end table
    Using , we get
    x equals 2 over 3 left parenthesis y minus 3 right parenthesis
    Now, we calculate x for the given values of y.
    Putting y = 9, in the above equation, we get,
    x equals 2 over 3 left parenthesis 9 minus 3 right parenthesis equals 2 over 3 times 6 equals 4
    Similarly, putting y = 6 in the above equation,
    x equals 2 over 3 left parenthesis 6 minus 3 right parenthesis equals 2 over 3 times 3 equals 2
    Putting y = 0 in the above equation,
    x equals 2 over 3 left parenthesis 0 minus 3 right parenthesis equals 2 over 3 left parenthesis negative 3 right parenthesis equals negative 2
    Finally, putting y = -3, we get
    x equals 2 over 3 left parenthesis negative 3 minus 3 right parenthesis equals 2 over 3 left parenthesis negative 6 right parenthesis equals negative 4
    Thus, we complete the table as
    X
    4
    2
    -2
    -4
    y
    9
    6
    0
    -3

    We should always try to rewrite the equation in terms of the variable whose value is given so that it is easy to find the value of the required variable. Then we just need to calculate the values carefully.

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