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Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front.


Type of Editing Cost per page
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Express proofreading - $2.20
Basic proofreading - $2.80
Extended proofreading - $3.90
Deep editing - $12.00
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Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount:

25c − 0.05(25c) = T

Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?
Express proofreading
Basic proofreading
Extended proofreading
Deep editing

Respuesta :

carlosego
For this case we have the following equation:
 [tex]25c - 0.05 (25c) = T [/tex]
 Where, the variables are defined as:
 c: the cost per page
 t: the total cost of editing 25 pages
 From here, we must replace the value of t = 66.50 in the given equation:
 [tex]25c - 0.05 (25c) = 66.50 [/tex]
 Then, we clear the value of c.
 We have then:
 [tex]25c - 1.25c = 66.50 23.75c = 66.50 c = 66.50 / 23.75 c = 2.8[/tex]
 Answer:
 The best quality of editing that Maria can get done for a maximum of $ 66.50 is:
 Basic proofreading

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