To answer these and related questions, we can create a model using a linear function. Models such as this one can be extremely useful for analyzing relationships and making predictions based on those relationships. In this section, we will explore examples of linear function models.

How To: Given a word problem that includes two pairs of input and output values, use the linear function to solve a problem. Identify the input and output values. Convert the data to two coordinate pairs. Find the slope. Write the linear model. Use the model to make a prediction by evaluating the function at a given x value.

When modeling scenarios with a linear function and solving problems involving quantities changing linearly, we typically follow the same problem solving strategies that we would use for any type of function: Identify changing quantities, and then carefully and clearly define descriptive variables to represent those quantities.

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Linear functions can be used as models for many real-world situations. While any form representing the equation of a line can be used, the form y = mx + b is the most popular. For a linear model, "y" represents the output and "x" represents the input.

To answer these and related questions, we can create a model using a linear function. Models such as this one can be extremely useful for analyzing relationships and making predictions based on those relationships. In this section, we will explore examples of linear function models.

To answer these and related questions, we can create a model using a linear function. Models such as this one can be extremely useful for analyzing relationships and making predictions based on those relationships. In this section, we will explore examples of linear function models.

How can you use a linear function to model and analyze a real-life situation? To be profi cient in math, you need to routinely interpret your results in the context of the situation. Work with a partner. A company purchases a copier for $12,000. The spreadsheet shows how the copier depreciates over an 8-year period. a.

Identify steps for modeling linear functions and solving problems. Build linear models from verbal descriptions. Draw and interpret scatter plots. Find the line of best fit using a calculator. Distinguish between linear and nonlinear relations. Use a linear model to make predictions. A view of the Seattle skyline. (credit: EEK Photography/Flickr)

To answer these and related questions, we can create a model using a linear function. Models such as this one can be extremely useful for analyzing relationships and making predictions based on those relationships. In this section, we will explore examples of linear function models. Identifying Steps to Model and Solve Problems