Question

Alex and Jesse are baking holiday muffins. On day one, they baked five muffins, on day two, they baked 11 muffins, and on day three, they baked 17 muffins. What is the slope for this arithmetic sequence?(1 point)
Responses

−6
negative 6

6
6

1
1

−1

Answer 1

To determine the slope (which represents the common difference in an arithmetic sequence) of the muffins baked by Alex and Jesse, we can examine the sequence of muffins baked over the three days:

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

Now, let's calculate the differences between consecutive days:

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

The common difference (or slope) is 6.

Thus, the answer is **6**.