Question

kendrick is tie - dyeing t - shirts with his friends. to make purple dye, he mixes drops of red dye with drops of blue dye. the number of red drops kendrick uses depends on the number of blue drops he uses. this situation can be modeled as a linear relationship. what does the slope of the line tell you about the situation? kendrick uses 1 red drop for every 4 blue drops. kendrick uses 4 red drops for every 1 blue drop. kendrick uses 1 red drop for every 5 blue drops. kendrick uses 5 red drops for every 1 blue drop.

Explanation:

Step1: Find two points on the line

Let's take two points \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(10,40)\)

Step2: Calculate the slope \(m\)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values:

$$m=\frac{40-0}{10 - 0}=\frac{40}{10}=4$$

The slope \(m = 4=\frac{\text{red drops}}{\text{blue drops}}\)

Answer:

Kendrick uses 4 red drops for every 1 blue drop.