Question

In 1995, the moose population in a park was measured to be 1800. By 1998, the population was measured again to be 2400. If the population continues to change linearly:

Find a formula for the moose population,
P
, in terms of
t
, the years since 1990.

Answers

  1. The linear equation for the variation of population is p = 200t + 1800.

    What is an equation?

    An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
    The formula for an equation in intercept form will be given as below:-
    y = mx + c.
    It is given that In 1995, the moose population in a park was measured to be 1800. By 1998, the population was measured again to be 2400.
    Write the linear equation for population variation.
    p = mt + c
    m = Rate of change = ( 2400 – 1800 ) / 3 = 200, put the value in the equation.
    p = 200t + c
    Put the values in the equation to get the value of the constant.
    2400 = 200 x 3 + c
    c = 2400 – 600
    c =1800
    The equation for the linear variation of the population is,
    p = 200t + 1800
    Therefore, the linear equation for the variation of the population is p = 200t + 1800.
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