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the function ( p(x) = 3.20x - 95.25 ) models the profit made per piece …

Question

the function ( p(x) = 3.20x - 95.25 ) models the profit made per piece of jewelry sold at a store, where ( x ) is the number of pieces sold. complete the statement. ( p(94) = 205.55 ) can be interpreted to mean that the profit made from selling pieces of jewelry is $

Explanation:

Step1: Substitute \(x = 94\) into \(P(x)\)

Given \(P(x)=3.20x - 95.25\), when \(x = 94\), we have \(P(94)=3.20\times94-95.25\)

Step2: Calculate \(3.20\times94\)

\(3.20\times94=(3 + 0.2)\times94=3\times94+0.2\times94=282+18.8 = 300.8\)

Step3: Calculate \(P(94)\)

\(P(94)=300.8-95.25\)
\(P(94)=205.55\)

Answer:

\(205.55\)