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 p

Question

Citrus2011 [14]

2 years ago

5

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 p

opulation continues to change linearly:
Find a formula for the moose population,
P
, in terms of
t
, the years since 1990.

Mathematics

1 answer:

Shalnov [3] · Answer 1 · 2023-04-25T05:14:08+03:00

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

<h3>What is an equation?</h3>

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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