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Massachusetts Tests for Educator Licensure (MTEL ) www.mtel.nesinc.com

Mathematics (09) Practice Test - MTELs

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Mathematics (09) Practice Test49. Use the diagram below to answer the question thatfollows.BSwimmerWater50 mLifeguardAx60 mBeachA lifeguard at point A needs to reach a swimmer at point B asquickly as possible. The lifeguard runs along the beach adistance, x, at 3.5 meters per second. The lifeguard thenswims along the diagonal dotted line at 1.5 meters per second.Which of the following expressions should be minimized to findthe distance, x, that the lifeguard should run to reach theswimmer in the least amount of time?A.B.C.D.60 – x3.5 + 501.560 – x3.5 + (x – 60)2 + 50 21.5x3.5 + 60 2 + 50 21.5x3.5 + (60 – x) 2 + 50 21.530

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