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.

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.

This section explores how to create linear models from real-world data. It explains how to identify relationships between variables, write linear equations, and interpret slope and intercepts in …

1. Given a table of data points, use the average rate of change to decide if the situation can be modeled by a linear function. 2. If a linear model is appropriate, find a formula that fits the given data. 3. Define variables so that the linear functions are easy to interpret and the numbers are not

Tasks are limited to constructing linear and exponential functions in simple context (not multi-step). iii) two input-output pairs (include reading these from a table). Copyright © 2004-now JMAP, Inc. - All rights reserved.

data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, x. Write a linear function, f(x), that represents the data. Explain what the slope and y-intercept of f(x) mean in the given context. 7 Which equation is represented by the graph below? 1) y+x=10 2)y−2x=−5 3)−2y=10x−4 4)2y=− ...

In this lesson, you will model data sets with linear, quadratic, and square root equations and use the models to solve problems. models it. Let’s review the features of these three function types. For each unit change in x, the value of y increases or decreases by a amount. or decrease by a constant amount.

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.

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.