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.
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
