Problem

Environmental Science A fishing lake was stocked with 300 bass. Each year the population decreases by 25 . The population of bass in the lake after $x$ years represented by the function $f(x)=300-25 x$.
a. Graph the function and find its intercepts.

Answer

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Answer

Final Answer: The x-intercept is \(\boxed{12}\) and the y-intercept is \(\boxed{300}\).

Steps

Step 1 :The function given is a linear function, represented by \(f(x)=300-25x\).

Step 2 :The intercepts are the points where the line crosses the x-axis and y-axis.

Step 3 :The x-intercept is the value of x when \(f(x) = 0\), and the y-intercept is the value of \(f(x)\) when \(x = 0\).

Step 4 :The x-intercept is 12, which means that after 12 years, there will be no bass left in the lake.

Step 5 :The y-intercept is 300, which is the initial number of bass in the lake.

Step 6 :Final Answer: The x-intercept is \(\boxed{12}\) and the y-intercept is \(\boxed{300}\).

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