Question

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

−1
negative 1

6

Answer 1

To find the slope of the arithmetic sequence, we can look at the difference in the number of muffins baked each day.

- 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: \( 17 - 11 = 6 \)

The consistent difference of 6 indicates that this is an arithmetic sequence with a common difference (or slope) of 6.

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