SOLUTION: At an altitude of 12,250 feet,a hot air balloon springs a leak and begins to be descending at a rate of 450 ft. Per minute. The last opportunity for the crew to safely jump out wi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At an altitude of 12,250 feet,a hot air balloon springs a leak and begins to be descending at a rate of 450 ft. Per minute. The last opportunity for the crew to safely jump out wi      Log On


   

Question 1008376: At an altitude of 12,250 feet,a hot air balloon springs a leak and begins to be descending at a rate of 450 ft. Per minute. The last opportunity for the crew to safely jump out with a parachute is 1900 feet above the ground. How long from the time they Sprung the leak will they have before they are required to jump, use an inequality and solve.

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Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

At an altitude of 12,250 feet,
descending at a rate of 450 ft. Per minute.
Let the time they have to jump be x minutes
let the height above ground be y
The last opportunity for the crew to safely jump out with a parachute is 1900
The height after x minutes is given by
so y = 12250 - 450x
but they have to jump above 1900 feet
12250 - 250x >y
12250 -450x > 1900
12250-1900 > 450x
350>450x
350/450 >x
x < 7/9 minutes