video games sold: x\nrevenue function: r(x) = 60x\ncost function: c(x) = 12 + 7x\nprofit function: p(x) =…
video games sold: x\nrevenue function: r(x) = 60x\ncost function: c(x) = 12 + 7x\nprofit function: p(x) = \ndone
Answer
Explanation:
Step1: Recall profit formula
Profit is revenue minus cost, so ( P(x)=R(x)-C(x) ).
Step2: Substitute functions
Substitute ( R(x) = 60x ) and ( C(x)=12 + 7x ) into the formula: ( P(x)=60x-(12 + 7x) ).
Step3: Simplify the expression
Distribute the negative sign: ( P(x)=60x - 12 - 7x ), then combine like terms: ( P(x)=(60x - 7x)-12 = 53x - 12 ).
Answer:
( 53x - 12 )