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8 June, 17:50

Weather balloons are filled with hydrogen and released at various sites to measure and transmit data such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.1 ft3/s. Initially, the balloon has 5 ft3 of hydrogen. Find a linear function that models the volume of hydrogen in the balloon after t seconds.

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  1. 8 June, 20:40
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    Linear function that models the volume of hydrogen in the balloon after t seconds is V (t) = 5 + 0.1t

    Step-by-step explanation:

    Initial volume of hydrogen in the balloon = 5 ft³

    Rate at which hydrogen is filling in the balloon = 0.1 ft³/s

    Volume after 1 second = 5 + 0.1 x 1

    Volume after 2 seconds = 5 + 0.1 x 2

    Volume after 3 seconds = 5 + 0.1 x 3

    Volume after 4 seconds = 5 + 0.1 x 4

    Volume after 5 seconds = 5 + 0.1 x 5

    Similarly

    Volume after t seconds, V (t) = 5 + 0.1 x t = 5 + 0.1t

    Linear function that models the volume of hydrogen in the balloon after t seconds is V (t) = 5 + 0.1t
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