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14 January, 05:03

A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

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  1. 14 January, 05:16
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    The linear relationship (the linear equation):

    y = m x + b (the slope-intercept form)

    m = (50.75 - 42.25) / (5 - 3) = 8.50 / 2 = 4.25 (the slope)

    42.25 = 4.25 * 3 + b

    b = 42.25 - 12.75

    b = 29.50

    y = 4.25 * x + 29.50

    Answer:

    The initial value is : (0, 29.50) or 29.50.
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