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L=-5.6 +1.1d
After tracking a species of migratory bird for ten years, the latitude, L, in degrees north for the
species of bird d days after March 1 and until May 1 is approximated by the equation above. By
approximately how many degrees north does the latitude of the bird species change each day
between March 1 and May 1?

Respuesta :

Considering the given linear function, the latitude of the bird species changes on average 1.1º a day between March 1 and May 1.

What is the linear function that models this situation?

The Latitude L, in degrees north, in d days after March 1 is given by:

L = -5.6 + 1.1d.

Hence, on March 1, which is the day 0, the Latitude is given by:

L(0) = -5.6 + 1.1 x 0 = -5.6º.

May 1st is 61 days after March 1st, hence the Latitude on this day is given by:

L(61) = -5.6 + 1.1 x 61 = 61.5º.

Hence the average rate of change of the latitude is given by the change in the output, which is the latitudes, by the change in the input, which is of 61 days, hence:

[61.5 - (-5.6)]/61 = 1.1.

More can be learned about linear functions at https://brainly.com/question/24808124

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