In 1992, the moose population in a park was measured to be 3020. By 1996, the population was measured again to be 2540. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t, the years since 1990. P(t): %3D What does your model predict the moose population to be in 2007?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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![In 1992, the moose population in a park was measured to be 3020. By 1996, the population was measured again to be 2540. If the population continues to change linearly:
Find a formula for the moose population, \( P \), in terms of \( t \), the years since 1990.
\[ P(t) = \]
What does your model predict the moose population to be in 2007?
\[ \]
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It is given that, the population of moose in 1992 is 3020 and the population in 1996 is 2540.
Let t = 0 represent the year 1990 and P(t) represent the population of moose t years after 1990.
Let the formula for the moose population, in terms of t , the years since 1990 is .
Then, the slope of the function P(t) is,
That is, .
Substitute and t =2 in .
Substitute and b =3260 in .
Hence, the population of moose t years after 1990 is, .
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