Question

Bentley and Arianys are reading the same book. At the beginning of the month, Bentley was on page 39 and Arianys was on page 19. Bentley will read 16 pages per day and Arianys will read 18 pages per day. Let BB represent the page of the book that Bentley is on at the end of tt days into the month, and let AA represent the page of the book that Arianys is on at the end of tt days into the month. Write an equation for each situation, in terms of t, commat, and determine whether Bentley or Arianys is farther along in the book after 15 days.

Answer 1

To determine the page of the book that Bentley and Arianys are on at the end of t days into the month, we can use the following equations:

For Bentley:

BB = 39 + 16t

For Arianys:

AA = 19 + 18t

Now, let's calculate the page numbers for Bentley and Arianys after 15 days:

For Bentley:

BB = 39 + 16 * 15

BB = 39 + 240

BB = 279

For Arianys:

AA = 19 + 18 * 15

AA = 19 + 270

AA = 289

After substituting t with 15 in the equations, we find that Bentley is on page 279 and Arianys is on page 289.

Explanation: