Question

teddys monthly profit from selling custom - perfume bottles is represented by the function, (p(x)=7.5x - 175), which (x) represents the number of bottles of perfume sold. complete the table below so that each value in the domain is assigned to the correct value in the range.
select from the following numbers to complete the table.
65, 120, 275, 457, 537.50, 737.50, 5050

(x)	(p(x))
95
	725

Explanation:

Step1: Substitute \(x = 60\) into \(P(x)\)

\[P(60)=7.5\times60 - 175=450 - 175 = 275\]

Step2: Substitute \(x = 95\) into \(P(x)\)

\[P(95)=7.5\times95 - 175=712.5-175 = 537.5\]

Step3: Solve for \(x\) when \(P(x)=725\)

\[725=7.5x - 175\]
\[7.5x=725 + 175=900\]
\[x=\frac{900}{7.5}=120\]

Answer:

\(x\)	\(P(x)\)
\(95\)	\(537.5\)
\(120\)	\(725\)