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5 April, 15:30

The depth finder on a fishing boat gives readings that are within 5% of the actual water depth. when the depth finder reading is 250 feet, the actual water depth x lies within a range given by an inequality.

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  1. 5 April, 16:15
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    A range refers to the least and greatest amount with respect of a certain number. In this case, the number referred to is the actual water depth, denoted as x. The general equation would be:

    Depth finder reading = Actual Water Depth + / - 0.05*Actual Water Depth

    250 ft = x + / - 0.05x

    250 ft = x (1 + / - 0.05)

    x = 250 / (1 + / - 0.05)

    Solving the equation:

    x = 250 (1 + 0.05) = 262.5 ft

    x = 250 (1 - 0.05) = 237.5 ft

    Hence, the actual depth is between the range 262.5 ft - 237.5 ft.
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