17. A dolphin descends 12 feet from the surface of the ocean and then ascends 7 feet. Then it descends 15 feet and repeats this descent three more times. How many feet below the surface is the dolphin then?
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To solve how far below the surface the dolphin ends up, we start with its initial descent of 12 feet, placing it at -12 feet (12 feet below the surface). Then it ascends 7 feet, bringing it to -5 feet (-12 + 7 = -5 feet). Next, it descends 15 feet, which brings it to -20 feet (-5 - 15 = -20 feet). Now, it repeats this descent three more times. Each descent of 15 feet, across three repetitions, will take it down another 45 feet (15 x 3 = 45). Adding this to -20 feet: -20 - 45 = -65 feet. Therefore, the dolphin ends up 65 feet below the surface.