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.

Question

Emery Gillespie

Mathematics

1 January, 13:40

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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Cookie · Answer 1

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.