Question

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

The y - intercept of the line represents the initial number of beads. When \(x = 0\) (no key - chains made), \(y=500\). So Preston starts with 500 beads.

Step2: Find number of beads per key - chain

The slope of the line gives the number of beads used per key - chain. The line passes through the points \((0,500)\) and \((20,0)\). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 500}{20-0}=\frac{- 500}{20}=-25\). The absolute value of the slope is 25, which means he uses 25 beads to make each key - chain.

Answer:

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