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Sagot :
Building and solving an equation to model the situation, it is found that it will take 1.52 seconds for the balloon to drop to below 465 feet.
- The initial height is of 1550 feet.
- Each second, the height decreases by 712 feet.
Hence, the equation that models the height of the balloon after t seconds is:
[tex]h(t) = 1550 - 712t[/tex]
To find how many seconds, s, will it take for the balloon to drop to below 465 feet, we have to find t for which h(t) < 465, hence:
[tex]h(t) < 465[/tex]
[tex]1550 - 712t < 465[/tex]
[tex]712t > 1085[/tex]
[tex]t > \frac{1085}{712}[/tex]
[tex]t > 1.52[/tex]
It will take 1.52 seconds for the balloon to drop to below 465 feet.
A similar problem is given at https://brainly.com/question/25290003
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