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
negative 6

6
6

−1
negative 1

Answer 1

To determine the slope of the arithmetic sequence formed by the number of muffins baked each day, we need to find the common difference between the number of muffins baked on consecutive days.

On day 1, they baked 5 muffins.
On day 2, they baked 11 muffins.
On day 3, they baked 17 muffins.

Now, we can calculate the differences:

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

The common difference (or slope) is consistent at 6.

Therefore, the slope for this arithmetic sequence is **6**.