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

1 answer

To find the slope of the arithmetic sequence representing the number of muffins Alex and Jesse baked over the three days, we need to calculate the difference between the 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.

The differences in the number of muffins baked from one day to the next are:

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

The common difference, which represents the slope of this arithmetic sequence, is consistently 6.

Therefore, the slope of the arithmetic sequence is 6.