Questions: 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) 6 1 -1 -6

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) 6 1 -1 -6
Transcript text: Algebra 1 A-M Lesson Note UNIT 4 LESSON 4 Linear \& Exponential Sequences Arithmetic Sequences Back to Intro Page Arithmetic Sequences Quick Check 5 of 5 IURSE OUTLINE 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) 6 1 $-1$ Item 5 $-6$
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Solution

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Find the slope of the arithmetic sequence representing the number of muffins baked by Alex and Jesse over three days.

Identify the sequence of muffins baked.

The sequence of muffins baked over the three days is: 5 (day 1), 11 (day 2), 17 (day 3).

Determine the common difference (slope) of the arithmetic sequence.

The common difference \( d \) is calculated as: \[ d = \text{Day 2} - \text{Day 1} = 11 - 5 = 6 \] Alternatively: \[ d = \text{Day 3} - \text{Day 2} = 17 - 11 = 6 \] Thus, the slope is \( \boxed{6} \).

The slope of the arithmetic sequence is \( \boxed{6} \).

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