If an average-sized man with a parachute jumps from an airplane, he will fall 12.5(0.2t − 1) + 21t feet in t seconds. How long

If an average-sized man with a parachute jumps from an airplane, he will fall
12.5(0.2t − 1) + 21t feet
in t seconds. How long will it take him to fall 150 feet? (Round your answer to two decimal places.)

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  1. Answer:

    It will take him 5.85 seconds.

    Step-by-step explanation:

    12.5 (0.2t – 1) + 21t = 150

    Use Distributive Property:

    2.5t – 12.5 + 21t = 150

    Combine like terms:

    23.5t – 12.5 = 150

    Subtract 12.5 from both sides:

    23.5t = 137.5

    Divide both sides by 23.5 to isolate variable t:

    5.851063…..

    Round to two decimal places (hundredths place):

    5.85

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