Problema Solution

To avoid the bends, a diver should ascend no faster than 30 feet per minute. Write and graph an inequality showing the relationship between the depth of a diver and the time required to ascend to the surface.

Answer provided by our tutors

let


v = the average speed of descending


t = the time


d = the distance the diver is passing


we know


v = d/t


we also know that v <= 30 this we have:


d/t <= 30


thus we have the following inequality for the distance that the diver will pass:


d <= 30t


since the diver is ascending towards the surface the dept is descending


let D denote the starting dept then we can write the following inequality for the dept of the diver:


y = D - 30t