Question

video games sold: x
revenue function: r(x) = 60x
cost function: c(x) = 12 + 7x
profit function: p(x) =
done

Explanation:

Step1: Recall the profit formula

Profit is calculated as Revenue minus Cost, so \( P(x)=R(x)-C(x) \).

Step2: Substitute the given functions

We know \( R(x) = 60x \) and \( C(x)=12 + 7x \). Substitute these into the profit formula:
\( P(x)=60x-(12 + 7x) \)

Step3: Simplify the expression

Distribute the negative sign: \( P(x)=60x - 12-7x \)
Combine like terms: \( 60x-7x = 53x \), so \( P(x)=53x - 12 \).

Answer:

\( 53x - 12 \)