Please check answers
1. 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.
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?
(A) Express proofreading $2.20 per page
**(B) Basic proofreading $2.80 per page
(C) Extended proofreading $3.90 per page
(D)Deep editing $12.00 per page
2. 2. Which of the following is not equivalent to the formula for the circumference of a circle, C = 2pir ?
C over r equals 2 times pi
C over pi equals 2 times r
C over the quantity of r times pi equals 2
**Cr = 2p
Sean, 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. Sean also gives a 5% discount if the entire amount is paid up front.
A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2 dollars, Basic Pro
Michelle has an 85-page manuscript. The equation below shows the relationship between the total cost of editing 85 pages, T, and the cost per page, c, if she gets the 5% discount:
85c − 0.05(85c) = T
Using the equation, what is the best quality of editing that Michelle can get done for a maximum of $161.50?
1. Let's solve the equation to find the cost per page (c) for a maximum of $66.50:
25c - 0.05(25c) = 66.50
Combine like terms:
25c - 1.25c = 66.50
23.75c = 66.50
Divide both sides by 23.75 to solve for c:
c = 66.50 / 23.75
c ≈ $2.80 per page
Looking at the options, we can see that (B) Basic proofreading at $2.80 per page is the closest option to the cost per page calculated. Therefore, the answer is (B) Basic proofreading $2.80 per page.
2. Let's compare each option with the formula for the circumference of a circle, C = 2πr:
(A) C over r equals 2 times pi:
C / r = 2π, which is equivalent to the formula for the circumference. This option is equivalent.
(B) C over pi equals 2 times r:
C / π = 2r, which is equivalent to the formula for the circumference. This option is equivalent.
(C) C over the quantity of r times pi equals 2:
C / (rπ) = 2, which is equivalent to the formula for the circumference. This option is equivalent.
(D) Cr = 2π:
This option is not equivalent to the formula for the circumference. The formula Cr = 2π represents the diameter of a circle.
Therefore, the answer is (D) Cr = 2π.
1. To find the best quality of editing that Maria can get done for a maximum of $66.50, we can use the given equation:
25c - 0.05(25c) = T
Let's solve this equation:
25c - 0.05(25c) = 66.50
Simplifying the equation:
25c - 1.25c = 66.50
Combining like terms:
23.75c = 66.50
Solving for c:
c = 66.50 / 23.75
c ≈ 2.8
This tells us that the cost per page, c, is approximately $2.80.
Now, we need to determine the quality of editing that corresponds to this cost per page. Looking at the options, we can see that option (B) Basic proofreading offers a cost per page of $2.80, which matches the value we obtained.
Therefore, the best quality of editing that Maria can get done for a maximum of $66.50 is Basic proofreading at $2.80 per page.
2. The formula for the circumference of a circle is C = 2πr.
Let's check each option to see which one is not equivalent to this formula:
(A) C over r equals 2 times pi
This can be rearranged as C/r = 2π, which is equivalent to the formula for the circumference of a circle.
(B) C over pi equals 2 times r
This can be rearranged as C/π = 2r, which is also equivalent to the formula for the circumference of a circle.
(C) C over the quantity of r times pi equals 2
This can be rearranged as C/(rπ) = 2, which is still equivalent to the formula for the circumference of a circle.
(D) Cr = 2p
This option is not equivalent to the formula for the circumference of a circle. It implies that the product of C and r is equal to 2p, which is not correct.
Therefore, the formula Cr = 2p is not equivalent to the formula for the circumference of a circle.