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)

Question

Responses

6
6

1
1

−6
negative 6

−1
negative 1

Answer 1

To find the slope of the arithmetic sequence formed by the number of muffins baked over the three days, we can look at the change in the number of muffins baked each day.

On day one, they baked 5 muffins.
On day two, they baked 11 muffins.
On day three, they baked 17 muffins.

Now, let's find the difference in the number of muffins baked each day:

• From day one to day two: \(11 - 5 = 6\)
• From day two to day three: \(17 - 11 = 6\)

The difference between each consecutive day is consistently 6 muffins.

Since this is an arithmetic sequence, the slope (which represents the common difference) is simply the value of this difference:

The slope is \(6\).

So the correct response is:

6