A girl read a book that had 1,159 pages. She read 72 pages on the first day and then read 40 pages per day until she finished the book. Which equation can be used to find the number of days, [tex]d[/tex], it took her to read the book?

A. [tex]72 + 40d = 1,159[/tex]

B. [tex]72d - 40 = 1,159[/tex]

C. [tex]40d + 72 = 1,159[/tex]

D. [tex]40d - 72 = 1,159[/tex]

To solve the problem, let's break it down step-by-step:

1. Understand the scenario:
- The book has a total of 1,159 pages.
- She reads 72 pages on the first day.
- For each day after the first, she reads 40 pages.

2. Identify what we need to find:
- We need to find the total number of days it took her to read the entire book.

3. Breakdown the reading schedule:
- On the first day, she reads 72 pages.
- Afterwards, she reads 40 pages each day.

4. Calculate the number of pages remaining after the first day:
- Total pages in the book: 1,159
- Pages read on the first day: 72
- Pages remaining to read: 1,159 - 72 = 1,087

5. Set up an equation using the information given:
- She reads 40 pages per day after the first day.
- Let [tex]$d$[/tex] be the number of days after the first day.
- So, the equation for the remaining pages becomes [tex]$40d = 1,087$[/tex].

6. Find the complete equation for [tex]$d$[/tex]:
- Including the first day, the total days can be determined by solving:
- [tex]$40d + 72 = 1,159$[/tex]
- This represents the correct equation that describes the situation: [tex]$40d + 72 = 1,159$[/tex]

From this breakdown, the correct equation to find the number of days [tex]$d$[/tex] is:

[tex]\[ 40 \cdot d + 72 = 1,159 \][/tex]