Question

Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.

Answer 1

Answer: D.

Reason: The model is y = 75 + 2x with x ≥ 0. Check each table:
- A: for x = 14, y should be 103 but table has 101 → invalid.
- B: includes x = −16 (negative minutes) → invalid, even though the y-values match the formula.
- C: for x = 0, y should be 75 but table has 0 → invalid.
- D: for x = 0,11,20.25,58, y = 75,97,115.5,191 = 75 + 2x and all x ≥ 0, so all entries are viable.