Question

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge of 12%. The price of a book can be modeled by the equation below, where P = the price of the book, 50 is the printing charge, 0.6 is the charge per page, and x = the number of pages: (1 point) P = (50 + 0.6x) + 0.12(50 + 0.6x) Chris wants to purchase a book but only has $80 to spend. What is the maximum number of pages she can have in her book? x = pages

Answer 1

35 pages

Explanation:

First simplify the equation.

P = (50 + 0.6x) + 0.12(50 + 0.6x)

P = 50 + 0.6x + 0.12*50 + 0.12*0.6x

= 50 + 0.6x + 6 + 0.072x

= 50 + 6 + 0.6x + 0.072x {Combine the like terms}

P = 56 + 0.672x

Amount that Chris has with him is $ 80

56 + 0.672x = 80

0.672x = 80 - 56

0.672x = 24

x = 24/0.672

x = 35pages