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.

1. thuthuy
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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