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Nana76
2 months ago
8

In 2003, the owl population P in a park was measured to be 340. By 2007, the population was measured again to be 285. The popula

tion changes linearly. Let the input t be years since 2003. A.) Find a formula for the owl population, P. Let the input be years t since 2003. B.) what does your model predict the park’s owl population to be in 2019?
Mathematics
1 answer:
AnnZ [12.3K]2 months ago
3 0

Answer:

y = -13.75x + 340

In 2019, there were 120 owls.

Step-by-step explanation:

To predict the population in subsequent years, utilize the formula y=mx+b due to the linear nature of the change.

Over four years, the fluctuation in the owl population from 340 to 285 is -55. Dividing this by 4 gives a yearly change rate of -13.75, which represents m.

The initial value or y-intercept, denoted as b in the formula, is 340.

Thus, the equation formed is y=-13.75x+340.

For the year 2019, where t=16, we calculate y=-13.75(16)+340, yielding 120.


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