question #6 brayden starts a small business selling tables made from wood pallets. the cost c of the…

question #6 brayden starts a small business selling tables made from wood pallets. the cost c of the supplies he needs to buy to produce (x) tables is represented by the function c(x)=6x + 21. the function r(x)=45x. a p(x)=39x + 21 b p(x)=51x + 21 c p(x)=39x - 21 d p(x)=51x - 21

question #6 brayden starts a small business selling tables made from wood pallets. the cost c of the supplies he needs to buy to produce (x) tables is represented by the function c(x)=6x + 21. the function r(x)=45x. a p(x)=39x + 21 b p(x)=51x + 21 c p(x)=39x - 21 d p(x)=51x - 21

Answer

Answer:

C. $p(x)=39x - 21$

Explanation:

Step1: Recall profit formula

Profit $p(x)=r(x)-c(x)$

Step2: Substitute given functions

$p(x)=45x-(6x + 21)$

Step3: Distribute the negative sign

$p(x)=45x-6x - 21$

Step4: Combine like - terms

$p(x)=(45 - 6)x-21=39x - 21$