Rodneyf2
contestada

(02.02)

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge of 15%. The price of a book can be modeled by the equation below, where P = the price of the book, 20 is the printing charge, 0.5 is the charge per page, and x = the number of pages:

P = (20 + 0.5x) + 0.15(20 + 0.5x)

Jennifer wants to purchase a book but only has $62.10 to spend. What is the maximum number of pages she can have in her book?

x = ______________________ pages

Respuesta :

eternal3fear
We are given the equation [tex]P = (20 + 0.5x) + 0.15(20+0.5x)[/tex]

"Jennifer wants to purchase a book but only has $62.10 to spend."
This means that our [tex]P = 62.10[/tex] 

Plug this in and we get
[tex] 62.10 = (20+0.5x) + 0.15(20+0.5x)[/tex]
Now all we have to do is solve for [tex]x[/tex]

distribute the 0.15 in the second set of parenthesis and get
[tex] 62.10 = 20 + 0.5x + 3 + 0.075x [/tex]

then add like terms on our right side and get
[tex] 62.10 = 23 + 0.575x [/tex]

then subtract 23 from both sides
[tex] 39.1 = 0.575x [/tex]

then divide both sides by 0.575
[tex] x = 68 [/tex]


Therefore your answer is [tex] x = 68 [/tex] pages.

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