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

1
1

6
6

−1
negative 1

−6
negative 6

Answer 1

To find the slope of the arithmetic sequence representing the number of muffins baked, we need to look at the change in the number of muffins baked each day.

The number of muffins baked on each day is as follows:
- Day 1: 5 muffins
- Day 2: 11 muffins
- Day 3: 17 muffins

Now, let's calculate the differences between the number of muffins baked on consecutive days:

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

Since the difference between the number of muffins baked each day is consistent and equal to 6, which represents the slope of this arithmetic sequence, we find that:

**The slope is 6.**

So, the answer is **6**.