Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Students will be given a real-world situation, along with a graph and table. Their task is to write the equation that corresponds to these other representations. For example, if a gym membership costs $40 per month, with time denoted by \(t\) and cost denoted by \(c,\) then \(c = 40t.\) For more details, see this video.