Graphing Skills: Linear Equations
Explore: Explore how to illustrate linear relationships with a graph. The material presented in this problem pertains to Appendix A. This graphing exercise illustrates how to graph a straight line given the slope and the y-axis (or vertical axis) intercept. - What is the equation that expresses the relationship between dollar costs and minutes called if your long distance telephone plan charges $5.00 per month plus 10 cents per minute for calls?
See answer here - What is the total cost of 10 minutes of calls?
See answer here - The scale on the axes matter a great deal in graphing. Graph the equation for phone charges. To do this press the Plot Equation button with 5 in the vertical intercept and 0.1 in the slope boxes. Notice how it looks - nearly flat and difficult to read. Without changing the numbering on the axes, how might you change the slope so that the graph is more readable?
See answer here - Let's make this a little bit more difficult and see if you remember some of your basic algebra. Suppose you don't know the slope, but you do know the vertical intercept and one other point. If the fixed cost is $10 and we know that 4 minutes cost $26, what is the equation for the line?
See answer here - Without using the interactive graph, how might you have found the slope of the equation?
See answer here - In the examples we have used thus far the slope has been a positive number and the graph has risen from left to right. This positive slope reflects a direct relationship. However, suppose the two variables are inversely related. For example, suppose that at a price of zero people want 90 widgets per day, but as price rises they want fewer and fewer, at a rate of 7 fewer per dollar increase in price. Using the interactive graph, establish and plot the equation representing this relationship. Is the slope positive or negative?
See answer here - Based on part (f), what is the quantity of widgets demanded if the cost is 8 dollars each?
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