A snorkeler dives for a shell on a reef. After entering the water, the diver descends 11/3 feet in one second. Write an equation
that models the diver's position with respect to time.
2 answers:
Answer:
f(t)=t²-12t+11
Step-by-step explanation:
1) Having an attentive reading, we can see from the picture two coordinate points (1,0) and (11,0).
These points, has coordinates for x and y. Since those y-coordinates are zero, we have x-intercepts. Or the zeros of a function, in a quadratic function. Those intercepts minus x values equals zero. These x-intercepts we'll rename it as t, for time.
2) Plugging it in and writing it as groups:
f(t) = returns in feet
t= for time
f(t) =(t-1)(t-11)
Distributing the factors multiplying (t-1) times (t-11), goes:
f(t) =t²-12t+11
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using a graphing tool, we can see the maximum of the graph
(see the attached figure)
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