William recorded data to determine the relationship between the time usage, x, and the percentage of charge left on his mobile pho

William recorded data to determine the relationship between the time usage, x, and the percentage of charge left on his mobile phone, y. He graphed the data and drew the line of best fit. The equation of the line of best fit is y = -10x + 100. About how many hours will it take for the phone lose its charge completely?

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  1. SOLUTION

    GIVEN

    William recorded data to determine the relationship between the time usage, x, and the percentage of charge left on his mobile phone, y. He graphed the data and drew the line of best fit. The equation of the line of best fit is y = -10x + 100.

    TO DETERMINE

    The number hours will it take for the phone lose its charge completely

    EVALUATION

    Here it is given that William recorded data to determine the relationship between the time usage, x, and the percentage of charge left on his mobile phone, y.

    He graphed the data and drew the line of best fit. The equation of the line of best fit is y = -10x + 100.

    Now we have to find the number hours will it take for the phone lose its charge completely

    Accordingly we get y = 0

    [tex] \sf{ \implies \: \: – 10x + 100 = 0}[/tex]

    [tex] \sf{ \implies \: \: 10x = 100 }[/tex]

    [tex] \sf{ \implies \: \: x = 10 }[/tex]

    FINAL ANSWER

    It will take 10 hours for the phone lose its charge completely

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