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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 sell 2300 items in its fourth month in business.

  • The new store will have a profit of $2300 after 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 4500 items in its fourth month in business.

Guest Mar 22, 2018

Best Answer 

 #1
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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.

Guest Mar 22, 2018
 #1
avatar
+1
Best Answer

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.

Guest Mar 22, 2018

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