Final answer:
The inequality 95 ≥ 5r + 45 represents the situation where Kirsten starts with 45 books and purchases 5 books every month for r months, without exceeding a total of 95 books.
Step-by-step explanation:
The inequality 95 ≥ 5r + 45 can represent a situation where someone can spend a maximum amount and where the total cost of purchases grows linearly with each time period. In this case, the inequality corresponds to the scenario where Kirsten has an initial amount of books and purchases a set number of additional books every month. We can interpret the inequality step by step:
- 5r represents the total number of books purchased over r months, with 5 books being purchased each month.
- The +45 represents the initial number of books Kirsten already has in her home library before any new purchases.
- The ≥ represents that the total number of books, after months of purchasing, should not exceed 95.
Given these points, the correct situation that can be represented by the inequality is:
b) Kirsten has 45 books in her home library. She will purchase 5 books every month. Kirsten purchases books for
r
months.