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A population of a certain species of bird is 22,000 animals and is decreasing by 700 birds per year..Write an equation for y, the population at time t (in years), representing the situation.y= How many birds are in the population after 7 years?

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We can solve that problem using a linear function, we know that


y=mx+y_0

Where y0 is the initial population and m is the rate of decreasing, we know that for each "x" years we have -700 birds, therefore


y=-700x+22000

Let's use t instead of x


y=-700t+22000

That's the equation that represents the population at time t


\begin{gathered} y=-700t+22000\text{ \lparen t = 7\rparen} \\ \\ y=-700\cdot(7)+22000 \\ \\ y=-4900+22000 \\ \\ y=17100 \end{gathered}

Therefore after 7 years, the population will be 17100 birds.

User Totokaka
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