Question

Jay, 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. Jay also gives a 5% discount if the entire amount is paid up front.

'Type of Editing' and 'Cost per page' as the column headings.

Express Proofreading costs $3.00,
Basic Proofreading - $3.95
Extended Proofreading - $5.00
Deep Editing - $13.00
Ellen has a 40-page manuscript. The equation below shows the relationship between the total cost of editing 40 pages, T, and the cost per page, c, if she gets the 5% discount.

40c - 0.05(40c) = T

Using the equation, what is the best quality of editing that Ellen can get done for a maximum of $190?

A) Express proofreading
B) Basic proofreading
C) Extended Proofreading
D) Deep editing

Answer 1

Shouldn't it be C? (Extended Proof reading) If you plug in 5 for c then the solution comes out as 190.

40(5) - 0.05(40(5)) = 190

200 - 0.05(200) = 190

200 - 10 = 190

Answer 2

The correct answer is:

C) Extended Proofreading

Step-by-step explanation:

The equation we are given is 40c-0.05(40c)=T. Since she can spend no more than 190, we let T be 190:

40c-0.05(40c)=190

Simplifying, we have

40c-2c=190

Combining like terms,

38c=190

Divide both sides by 38:

38c/38 = 190/39

c=5

The $5 per page cost is extended proofreading.