Respuesta :
Answer:
5 and 24
Step-by-step explanation:
1) replace the x's with 125 | c(x)=120+4(125)/(125)
620/125=5 simplify numerator
x=5
2) replace c(x) with 9 | 9=120+4x/x
9x=4x+120 multiply both sides by x
9x-4x=4x+120-4x subtract both sides by -4x
5x=120 divide both sides by 5
x=24
so, it costs about 5 dollars per book when 125 are printed
and, if it costs 9 dollars per book, 24 should be printed
The given function for the cost of printing is a linear function that has a
fixed (set up) cost and a variable cost component.
The correct responses are;
- 1. The cost of printing 125 books is $620.
- 2. The number of books that should be printed, for the author to be able to charged $9 per book is at least 24 books.
Reasons:
Given that the function for the cost of printing x books is; c(x) = 120 + 4·x, we have;
1. The cost of printing 125 books is c(125) = 120 + 4 × 125 = 620
- The cost of printing 125 books = $620
2. The amount the author plans to charge per book = $9
The number of books, n, that should be printed is given as follows;
[tex]\displaystyle 9 = \mathbf{ \frac{120 + 4 \times n}{n}}[/tex]
Which gives;
9·n = 120 + 4·n
9·n - 4·n = 120
5·n = 120
[tex]\displaystyle n = \frac{120}{5} = \mathbf{24}[/tex]
The number of books that should be printed, n ≥ 24 books
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