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Algebra
Question

A wildlife biologist has determined that a certain...

A wildlife biologist has determined that a certain stream can support \( 27,000 \) fish if it is free of pollution. She has estimated that for every ton of pollutants in the stream, \( 900 \) fewer fish can be supported. Express the fish population as a function \( P ( x ) \) , where \( x \) is the number of tons of pollutants found in the stream. Obtain values of the function when \( x = 0 , x = 10 \) , and \( x = 30 \) . Graph the population function. What is the significance of \( P ( x ) \) when \( x = 30 \) ? 

Find the population function \( P ( x ) \) . 

 

\( P ( x ) = 27,000 - 900 x \) 

(Type an expression using \( x \) as the variable.) 

For \( x = 0 \) , the value of the function \( P ( x ) \) is \( 27,000 \) . (Simplify your answer.) 

For \( x = 10 \) , the value of the function \( P ( x ) \) is \( 18,000 \) . (Simplify your answer.) 

For \( x = 30 \) , the value of the function \( P ( x ) \) is \( \square \) . (Simplify your answer.) 

Answer

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Solution
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