Question

there is a linear relationship between the number of bracelets laura makes, and the amount of string she has left, in meters.

describe the rate of change for this relationship.

the amount of string left dropdown by dropdown per bracelet.

Explanation:

Step1: Identify two points

From the graph, when the number of bracelets is 0, the string left is 40 meters (point (0, 40)). When the number of bracelets is 50, the string left is 0 meters (point (50, 0)).

Step2: Calculate rate of change

The rate of change (slope) is calculated as $\frac{\text{Change in } y}{\text{Change in } x}=\frac{0 - 40}{50 - 0}=\frac{-40}{50}=-0.8$. The negative sign indicates a decrease.

Answer:

The amount of string left decreases by 0.8 meters per bracelet.