Question

audrina is knitting a scarf for her sister. she knits 3.5 centimeters of scarf every day. what does the slope mean in this situation? slope = \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\) 3.5 after each \\(\boldsymbol{\text{\\___}}\\), the length of the scarf increases by 3.5 more \\(\boldsymbol{\text{\\___}}\\).

Explanation:

Step1: Identify slope context

The x-axis is number of days, y-axis is scarf length (cm). The slope is $\frac{\text{Change in length}}{\text{Change in days}}$.

Step2: Calculate slope from points

Using points (4,14) and (6,21):
$\text{Slope} = \frac{21 - 14}{6 - 4} = \frac{7}{2} = 3.5$

Step3: Interpret slope meaning

The slope represents the daily increase in scarf length.

Answer:

After each day, the length of the scarf increases by 3.5 more centimeters.