A store manager predicts that 115 hats will be sold if each hat costs $18. The manager predicts that 3 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 55 hats will be sold?

Question

Chandler Bautista

Mathematics

17 June, 16:10

A store manager predicts that 115 hats will be sold if each hat costs $18. The manager predicts that 3 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 55 hats will be sold?

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Answers (1)

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Cordell Lawrence · Answer 1

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

Step-by-step explanation:

According to the given data we the following:

Number of hats sold at $18=115

The manager predicts at 3 less will sold for every rise in 1 $ for at least 55 hats.

Therefore, reduction in number=115 hats-55 hats=60

So, increase in price=reduction in number/number of hats manager predicts that will be sold for every $1 increase in price

increase in price=60/3=$20

Therefore, prices at which manager predict that at least 55 hats will be sold would be=$18+$20=$38

The prices at which manager predict that at least 55 hats will be sold would be would be of $38