Question

question
the costs of a company are represented by the function c(x)=2.6x + 23,400. its revenues are represented by the function r(x)=2.8x.
which function represents the companys profits?
select the correct answer below:
p(x)=5.4x - 23,400
p(x)=5.4x + 23,400
p(x)=0.2x + 23,400
p(x)=2.6x - 23,400
p(x)=0.2x - 23,400

Explanation:

Step1: Recall profit formula

Profit = Revenue - Cost

Step2: Substitute given functions

P(x)=R(x)-C(x)=(2.8x)-(2.6x + 23400)

Step3: Distribute the negative sign

P(x)=2.8x-2.6x - 23400

Step4: Combine like - terms

P(x)=(2.8x-2.6x)-23400 = 0.2x-23400

Answer:

P(x) = 0.2x - 23,400