Question

3.) Write an inequality to represent the situation:- 4. The set-up fee for a photo book is $35. The paper is an additional charge of $0.80 per page. What is the greatest number of pages that a book can have if the total bill is to be less than $50?

Answer 1

The setup fee for the photo book is $35.

For the paper there is an additional charge of $0.80 per page, if "x" represents the number of pages, you can express the cost for the paper as "0.80x"

The total bill must be less than $50, which means that the sum of the setup fee plus the additional charges per page, cannot surpass or be equal to $50, you can express the inequality as follows:

`35+0.80x<50`

To determine the greatest number of pages that the book can have without surpassing a total cost of $50, you have to solve the inequality for x.

-First, pass 35 to the right side of the inequality by applying the opposite operation "-35" to both sides of it:

`\begin{gathered} 35-35+0.80x<50-35 \\ 0.80x<15 \end{gathered}`

-Second, divide both sides of the equation by 0.8:

`\begin{gathered} (0.80x)/(0.80)<(15)/(0.80) \\ x<18.75 \end{gathered}`

The maximum number of pages that the book can have without surpassing a total cost of $50 is 18 pages.