Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

l.j. stepping stones the function ( p(x)=3.20x - 95.25 ) models the pro…

Question

l.j. stepping stones
the function ( p(x)=3.20x - 95.25 ) models the profit made per piece of jewelry sold at a store, in dollars, 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 the function \(P(x)=3.20x - 95.25\)

\(P(94)=3.20\times94−95.25\)

Step2: Calculate \(3.20\times94\)

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

Step3: Calculate \(P(94)\)

\(P(94)=300.8−95.25\)
\(P(94)=205.55\)
This means when \(x = 94\) (i.e., 94 pieces of jewelry are sold), the profit \(P(x)\) is \(205.55\) dollars.

Answer:

205.55