pdf Negative Rate Of Change Word Problems

This real-world worksheet develops students’ understanding of negative rates of change through multiple contextual scenarios. Each problem presents a starting value that decreases at a constant rate over time, requiring students to complete a table, graph the relationship, and interpret the results. 

Students analyze situations such as elevation decreasing at a steady rate, savings being spent over time, supplies being used daily, battery percentage dropping each hour, water draining from a pool, and classroom materials being consumed weekly. In each case, students model the relationship using a linear equation of the form \(y = mx + b\) where \(m\) is negative. They determine how long it takes for the quantity to reach zero and interpret what that point represents in context.

By connecting tables, graphs, equations, and real-world meaning, this resource strengthens understanding of slope as rate of change and reinforces how a negative slope represents a decrease over time. It works well as guided practice, independent work, small-group reinforcement, or assessment preparation in a unit on linear relationships.

Skills Assessed

• Interpreting negative rates of change

• Completing linear function tables

• Graphing decreasing linear relationships

• Writing equations in \(y = mx + b\) form

• Determining when a quantity reaches zero

• Connecting graphs to real-world meaning

Classroom Use

• Introduction to negative slope

• Guided practice with real-world modeling

• Independent practice

• Small-group intervention

• Assessment preparation

Details

4 pages
Answer key included

ID# 0812