Print out the Investigation and then go to the following website to explore. Be sure to read the instructions on how to use the applet. You will only be using the applet, so it is not necessary to read the lesson at the website.
To make sure that you are correctly formulating the systems of equations for the paths taken by the individuals in the scenarios, you should use your graphing calculator to match the graphs of your equations with the graph on the applet. Set the window to match the scales on the applet.
Let's check your work. In all of the equations, y = the distance from the house, in steps, and x = the number of seconds". Click on each problem number below to check your answers.
Interactive button. Assistance may be required. Problem 4 boy: y = 7x girl: y = 25 + 5x or y = 5x + 25
Interactive button. Assistance may be required. Problem 5 At 9 steps per second, the girl gets to the tree at the same time as the boy so her speed must be 10 steps per second or greater.
Interactive button. Assistance may be required. Problem 6 girl: y = 3x + 15 or y = 15 + 3x boy: y = 6x
Interactive button. Assistance may be required. Problem 7 girl: y = (the speed you chose)x boy: y = 100 – (the speed you chose)x
Interactive button. Assistance may be required. Problem 8 boy: y = 10 + 5x or y = 5x + 10 girl: y = 100 – 7x or y = -7x + 100
Interactive button. Assistance may be required. Problem 9 boy: y = 16 – 1x or y = -x + 16 girl: y = 12 + 2x or y = 2x + 12