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20 March, 12:30

If a = 4.2 to (1dp) and b = 18 (to the nearest whole number), Find the lower and upper bound of the following: ((a+b) / a)

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  1. 20 March, 12:38
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    Lower bound = 5.2

    Upper bound = 5.4

    Step-by-step explanation:

    If a = 4.2 to (1dp):

    Upper bound = 4.2 + 0.05 = 4.25

    Lower bound = 4.2 - 0.05 = 4.15

    If b = 18 (to the nearest whole number)

    Upper bound = 18 + 0.5 = 18.5

    Lower bound = 18 - 0.5 = 17.5

    Therefore:

    Lower bound of ((a+b) / a) = ((4.15 + 17.5) / 4.15) = 5.2 to 1 decimal place

    Upper bound of ((a+b) / a) = ((4.25 + 18.5) / 4.25) = 5.4 to 1 decimal place

    The upper and lower bound are calculated to one decimal place.
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