1. A linear function represents a relationship that increases or decreases at a constant rate. It can be written in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.
2. Linear functions are commonly used to model simple relationships between two variables, such as distance and time, cost and quantity, or temperature and altitude.
3. Examples of linear functions in context include:
- A car's distance traveled over time, where the speed is constant
- The cost of buying a certain number of items at a fixed price per item
- The temperature change in a location as the altitude increases
4. To determine if a given relationship is represented by a linear function, you can plot the data on a graph and see if it forms a straight line. Alternatively, you can calculate the slope between two points and check if it remains constant across the entire dataset.
Linear functions in context quick check
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