Question

30 POINTS!!!!!!!!! PLEASE HELP!!!!!!!!!

George has opened a new store and he is monitoring its success closely.


He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars.


He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.




What does (r−c)(4) mean about George's new store?





The new store will have a profit of $2300 after its fourth month in business.


The new store will sell 4500 items in its fourth month in business.


The new store will have a profit of $4500 after its fourth month in business.


The new store will sell 2300 items in its fourth month in business.

Answer 1

It will be 4500

Explanation:

Just substitute 4 for x in both equations and you will get:

r(4) = $5,000 store's revenues in 4 months

c(4) = $500 store's expenses in 4 months.

So, (r - c) = $5,000 - $500 =$4,500 store's profit after 4 months in business.

Hopes this works out!