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The average cost for a hamburger platter at Joe's Palace is %9.25. The manager wants to keep the price for the hamburger platter within $1.05 of the current price as he plans a new menu. Write an absolute value inequality that he can use to model the price for his new menu. Then solve the inequality for the range of acceptable charges he can list for the hamburger platter.

Posted 145 day ago

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Answers (3)

math_fanatic

I have no idea what Samzappala is talking about.

I'm assuming that the percent sign in the first line of the question is supposed to be a dollar sign since a cost can't be a percentage.

I'm not sure what you mean by an absolute value inequality but the first answer seems right to me.

If x is the new price of any given hamburger platter, then:

9.25 - 1.05 < x < 9.25 + 1.05

8.25 < x < 10.30

Posted 145 day ago

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samzappala

In order to get $1.05 from $9.25, multiply by .113, which is the %. You see, any division problem will give you a %. 1.05/9.25=.113; to get %, multiplt by 100=11.3%. So to keep the retail boost below $1.05, the original is to be multiplied by less than 1.113%. I added the 1 so that the problem could be figured in one step. So 9.25*1.112=$10.29. This is the highest price in reference to the requirements.
To get a lower price, deduct an amount from 1.112 then multiply. (original price)*(pct+1)=(retail price).

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Vince

Let x = price of hamburger platter

9.25-1.05 < X < 9.25+1.05

8.20< X < 10.30

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