Question

A snorkeler dives for a shell on a reef. After entering the water, the diver decends 11/3 ft in one second. Write an equation that models the divers position with respect to time.

Answer 1

`h(t)=-(11)/(3)t`

Explanation:

A snorkeler dives for a shell on a reef. After entering the water, the diver decends
`(11)/(3)` ft in one second.

Let t be the time passed after entering the water, in seconds, and h(t) be the position of the snorkeler under the water, in feet.

The initial position of the snorkeler was 0 feet under the water.

An equation that models the divers position with respect to time is

`h(t)=0-(11)/(3)t\\ \\h(t)=-(11)/(3)t`

Here the position is negative, because the diver decends (he deepens under the water)