Question

Alex and Jesse are baking muffins. On day one, they baked five muffins, on day two, they baked 11 muffins, and on day three, they baked 17 muffins. Write a linear function to represent the number of muffins (y)
successfully baked in x days.(1 point)
Responses

y=16x−1
y equals Start Fraction 1 over 6 End Fraction x minus 1

y=x+6
y equals x plus 6

y=6x+1
y equals 6 x plus 1

y=6x−1

Answer 1

To find a linear function that represents the number of muffins baked (y) in x days, we start by identifying the pattern in the data:

- Day 1: 5 muffins
- Day 2: 11 muffins
- Day 3: 17 muffins

Now let's determine the slope (m) by finding the change in the number of muffins baked per day.

From day 1 to day 2, the increase is \( 11 - 5 = 6 \).
From day 2 to day 3, the increase is \( 17 - 11 = 6 \).

The slope (m) is consistently 6 muffins per day.

Next, we'll find the y-intercept (b) by using the point for day 1 (x = 1, y = 5):

Using the slope-intercept form of a line \( y = mx + b \):

\[ 5 = 6(1) + b \]
\[ 5 = 6 + b \]
\[ b = 5 - 6 = -1 \]

Thus, the equation of the line is:

\[ y = 6x - 1 \]

So the correct answer is:

**y = 6x - 1**.