Chapter 1
Number and Quantity
Course: Core Academic Skills For Educators Combined Test 5752
Subject: Core Academic Skills Educators Mathematics 5733
Chapter: Number And Quantity
1. Understanding Constant Rates
A constant rate is a fixed ratio that describes how one quantity changes in relation to another quantity over time, distance, or another measurable factor. In these scenarios, the rate does not vary — it remains steady throughout the measurement period. The idea of a constant rate is based on proportionality: if the amount of one variable doubles, the amount of the other variable will also double, provided the rate remains the same.
Rates are generally expressed as “units of one measurement per unit of another measurement.” Examples include:
- Miles per hour (mph) for speed, which measures distance traveled per unit of time
- Gallons per mile for fuel consumption, which measures how much fuel is used per distance traveled
- Cubic feet per minute (cfm) for air or liquid flow, which measures volume moved per unit of time