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4 April, 09:44

Which is a reasonable estimate of the constant of variation?

0.25 kWh per day

0.50 kWh per day

2.40 kWh per day

4.00 kWh per day

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  1. 4 April, 10:03
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    Answer: B 0.5 kWh per day

    Step-by-step explanation:

    Since the graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number of days it is plugged into the wall current

    The constant of variations will be the gradient (slope) of the graph.

    Gradient = (Y2 - Y1) / (X2 - X1)

    Where X1 = 2, X2 = 6, Y1 = 0.5, Y2 = 1.5

    Substitute all the values into the formula

    Gradient = (1.5 - 0.5) / (6 - 4)

    Gradient = 1/2

    Gradient = 0.5.

    Therefore, a reasonable estimate of the constant of variation is 0.5 kWh per day
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