Question

number of trick - or - treaters
describe the rate of change for this relationship.
the amount of candy left decreases by per trick - or - treater.
pieces of candy left

Explanation:

Step1: Identify two coordinate points

Choose points $(x_1,y_1)=(0,150)$ and $(x_2,y_2)=(45,105)$ from the line.

Step2: Calculate rate of change

Use slope formula: $\text{Rate of change} = \frac{y_2 - y_1}{x_2 - x_1}$
$\text{Rate of change} = \frac{105 - 150}{45 - 0} = \frac{-45}{45} = -3$

Step3: Interpret the result

The negative value means candy left decreases.

Answer:

The rate of change is -3, meaning the amount of candy left decreases by 3 pieces per trick-or-treater.