Problem

Endangered Species The Florida scrub-jay is an endangered species that prefers to live in...

Endangered Species The Florida scrub-jay is an endangered species that prefers to live in open landscape with short vegetation. NASA has attempted to create a habitat for these birds near Kennedy Space Center. The following table lists their population for selected years, where x = 0 corresponds to 1980, x = 1 to 1981, x = 2 to 1982, and so on.

x(1980 ↔ 0)

0

5

9

y(population)

3697

2512

2176

 

x(1980 ↔ 0)

11

15

19

y(population)

2100

1689

1127

Source:Mathematics Explorations II, NASA–AMATYC–NSF.

(a) Make a scatterplot of the data.


(b) Find a linear function f that models the data.


(c) Graph the data and f in the same viewing rectangle.


(d) Estimate the scrub-jay population in 1987 and in 2003.

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