Question

describe the rate of change for this relationship.
the weight of tyrones luggage
number of t - shirts
weight of luggage (pounds)

Explanation:

Step1: Recall the formula for rate of change

The rate of change (slope) formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Identify two points on the line

Let's take two points \((x_1,y_1)=(9,3)\) and \((x_2,y_2)=(15,27)\).

Step3: Calculate the rate of change

Substitute into the formula: \(m=\frac{27 - 3}{15 - 9}=\frac{24}{6} = 4\). But wait, since the line is decreasing (as \(x\) increases, \(y\) decreases), the rate of change is \(- 4\).

Answer:

The rate of change is \(-4\) pounds per t - shirt. This means for each additional t - shirt Tyrone packs, the weight of his luggage decreases by 4 pounds.