Question

preston buys a large bag of beads to make key chains for a craft festival. he pulls beads from the bag to make each key chain.
this situation can be modeled as a linear relationship.
complete the statement that describes the situation.
preston starts with a bag of beads. he uses beads to make each key chain.

Explanation:

Step1: Find initial number of beads

When \( x = 0 \) (no keychains made), the \( y \)-value (beads left) is 500. So Preston starts with 500 beads.

Step2: Calculate beads per keychain

Use two points, e.g., \( (0, 500) \) and \( (20, 75) \)? Wait, no, looking at the graph, when \( x = 2 \), \( y = 450 \). The slope (rate of change) is \( \frac{450 - 500}{2 - 0}=\frac{-50}{2}=-25 \). The negative sign means 25 beads are used per keychain.

Answer:

Preston starts with a bag of 500 beads. He uses 25 beads to make each key chain.