Question

PLEASE HELP! 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

Answer 1

You want to substitute 62.1 for P and solve for x.
62.1 = (20 + 0.5x) + 0.15(20 +0.5x)
Then, you wanna distribute the 0.15 into the second binomial.
So far so good?

Answer 2

yes

Answer 3

Okay, so what will the equation look like after you distribute? Could you write that for me? :)

Answer 4

yes one minute

Answer 5

ok after distributing 6.21 to 20 and 0.5 and distributing 0.15 to 20 and 0.5 I got this:
1,242+31.05+3+0.075

Answer 6

Great job on the second part! However, you do not need to distribute anything into the first binomial since there isn't a factor next to it. :) (And don't forget to include your x variables) So the equation would be...
61.2 = 20 +0.5x + 3 + 0.075x

Answer 7

oh yes sorry I forgot the x variables

Answer 8

Perfect. =] So now we need to add like terms. What are the like terms here?

Answer 9

like terms here are 0.5x and 0.075x

Answer 10

so we subtract 0.5 from both sides?

Answer 11

Right, 0.5x and 0.075x need to be added together and so do 3 and 23.
That gives us 61.2 = 23 + 0.575x

Answer 12

ok now what subtract 23 from both sides?

Answer 13

Yup!

Answer 14

Now were left with 61.2 = -22.425??

Answer 15

sorry I meant 61.2 = -22.425x

Answer 16

Actually here is what it would look like...