Question

what does the slope mean in this situation? slope = \\(\frac{\text{vertical distance}}{\text{horizontal distance}}\\) 4.5 after each \\(\boldsymbol{\text{day}}\\), the length of the scarf increas \\(\boldsymbol{\text{centimeter}}\\).

Explanation:

Step1: Calculate the slope

Using points $(2,9)$ and $(4,18)$:
$\text{Slope} = \frac{\text{vertical distance}}{\text{horizontal distance}} = \frac{18-9}{4-2} = \frac{9}{2} = 4.5$

Step2: Interpret the slope

The x-axis is number of days, y-axis is scarf length (cm). The slope represents the change in y per change in x.

Answer:

After each day, the length of the scarf increases by 4.5 centimeters.