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making linear equation from word problem

At low altitudes, the altitude of a parachute and time in the air are linearly related. A jump at 2,880 ft use the US army T-10 parachute system last 120 sec.

(A) find a linear model relating altitude a (in feet) and time in the air t (in seconds)

(B) the rate of descent is the speed at which the jumper falls. What is the rate of descent for a T-10 system?

  • algebra - ,

    if time at altitude x is y, then
    y = ax+b

    Now, b=0, since a jump from 0 feet takes 0 time. So,
    y = ax
    120 = 2880a
    a = 120/2880 = 12/288 = 1/24

    y = x/24

    the speed is thus ft/s = x/y = 24 ft/s

  • algebra - ,

    Thank you

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