When Gavin counts the number of days in groups of 7, he is essentially counting multiples of 7, which can be expressed in the form \(7n\) where \(n\) is a non-negative integer (0, 1, 2, 3, ...). The multiples of 7 are: 0, 7, 14, 21, 28, 35, etc.
From the options provided, the correct list should contain numbers that are either multiples of 7 or can be expressed in this form.
Let's analyze each response:
- 7, 15, 22, 30: Only 7 is a multiple of 7.
- 7, 15, 22, 30: Same as above, only 7 is a multiple of 7.
- 7, 14, 21, 30: 7, 14, and 21 are multiples of 7, but 30 is not.
- 7, 14, 21, 30: Same as above, again 30 is not a multiple.
- 7, 14, 21, 28: All of these (7, 14, 21, and 28) are multiples of 7.
- 14, 21, 32, 38: Only 14 and 21 are multiples of 7.
Thus, the only correct list where all numbers are multiples of 7 is:
7, 14, 21, 28.
1 answer