Question

question
the costs of a company are represented by the function $c(x)=0.38x + 700$. its revenues are represented by the function $r(x)=2.9x$.
which function represents the companys profits?
select the correct answer below:
$p(x)=2.52x - 700$
$p(x)=1.52x - 700$
$p(x)=2.52x + 700$
$p(x)=2.52x - 800$
$p(x)=2.52x$

Explanation:

Step1: Recall profit formula

Profit $P(x)=R(x)-C(x)$

Step2: Substitute given functions

$P(x)=2.9x-(0.38x + 700)$

Step3: Distribute the negative sign

$P(x)=2.9x-0.38x - 700$

Step4: Combine like - terms

$P(x)=(2.9 - 0.38)x-700=2.52x - 700$

Answer:

A. $P(x)=2.52x - 700$