Alex and Jessie are banking holiday muffins On day 1 they baked 5 muffins on day 2 they baked 11 muffins and on day 3 they baked 17 muffins what is the slope for this arithmetic sequence

Answer 1

To find the slope of the arithmetic sequence that represents the number of muffins baked each day, we first look at the pattern in the number of muffins baked:

• Day 1: 5 muffins
• Day 2: 11 muffins
• Day 3: 17 muffins

We can find the difference in the number of muffins baked each day:

• From Day 1 to Day 2: \(11 - 5 = 6\)
• From Day 2 to Day 3: \(17 - 11 = 6\)

The difference is consistent at 6 muffins per day.

In the context of an arithmetic sequence, this difference is known as the common difference, or the slope. Therefore, the slope of this arithmetic sequence is 6.

Answer 2

Just to confirm the answer is 6 and not -6

Answer 3

Yes, the answer is indeed 6, not -6.

In the context of an arithmetic sequence:

• A positive slope (or common difference) indicates that the quantity is increasing, which is the case here since the number of muffins baked each day increases from day to day.
• Specifically, they baked more muffins each day: from 5 muffins to 11 muffins, and then from 11 muffins to 17 muffins, indicating an increase of 6 muffins each day.

So, the common difference (slope) is +6.