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.
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Answer:
[tex]h(t)=-\dfrac{11}{3}t[/tex]
Step-by-step explanation:
A snorkeler dives for a shell on a reef. After entering the water, the diver decends [tex]\frac{11}{3}[/tex] 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
[tex]h(t)=0-\dfrac{11}{3}t\\ \\h(t)=-\dfrac{11}{3}t[/tex]
Here the position is negative, because the diver decends (he deepens under the water)