The total red fish population in the gulf of mexico between 1989 and 1999 is app
ID: 2846708 • Letter: T
Question
The total red fish population in the gulf of mexico between 1989 and 1999 is approximated by the function
F(t) = 5.303 t^2 - 53.977 t + 253.8 ( 0 < t < 10 )
where f (t )is measured in the thousands of metric tons and t is measured in years, with t = 0 corresponding with the beginning of 1989.
1) What was the rate of change(f ' (t) ) of the redfish population at the beginning of 1994?
2) What was the rate of change of the redfish population at the beginning of 1996
3) Fishing restrictions were imposed on Dec. 7 1994. were the conversation measures effective? Explain by using the rates of change found in part 1 and 2.
Show all work please.
Explanation / Answer
1) f ' (t) = 2*5.303 t - 53.977 = 10.606 t - 53.977
at the beginning of 1994, t = 1994 -1989 = 5
f ' (t=5) =10.606 *5 - 53.977 = -0.947
2) at the beginning of 1994, t = 1996 -1989 = 7
f ' (t=7) =10.606 *7 - 53.977 = 20.265
3) Yes, the conservation measures were effective. in 1994 population was increasing at a very high rate
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