Circles with unit rates

allison_math

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Aug 31, 2022
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I am really struggling to understand how to go about this question, any help will be much appreciated.
The question: Calculate the unit rate in dollars per inch of a pizza with a 36 inch diameter that costs $54.99.
 
Calculate the unit rate in dollars per inch of a pizza
Hello Allison. Please read the forum's posting guidelines (summary appears below), and share which parts you do understand or show some work of your beginning attempt(s). For example, have you interpreted the phrase "dollars per inch" to mean the price per inch of the pizza's perimeter (circumference)? Or, do you think it means the price per inch of the pizza's diameter? Because the question as posted appears ambiguous, please ensure that you haven't misread the given exercise statement or mistyped the word 'inch' when it ought to be 'square-inch' (or, inch^2). That is, maybe they want the unit price per square-inch of pizza (unit area). Thank you!

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Hint: Example \(\displaystyle \dfrac{7}{6} = \dfrac{7/6}{1}\). What is the formula for the area of a circle?
 
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Actually this problem can't be done as mbot already said. The area of the pizza will be in square units, like inch2.
So you can't find dollars per inch but you can find dollars per square inch.
 
can't find dollars per inch but you can find dollars per square inch
If the exercise actually concerns the price per circumference inch (for example), we could do that.

A different $54.99 pizza having a 110-inch perimeter has a unit price that's very close to 50 cents per inch.

Hopefully, we'll get to see the actual exercise statement.

?
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