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# Word Problem

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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.

Mar 22, 2018

#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.

Mar 22, 2018

#1
+1

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