The Light It Up Game 9. For this experiment, you will need: Laser pointer (or a small flashlight) Small, flat mirror Tape measures (2) Wooden block, about 10 cm tall (or a thick book) Tape Graphing calculator (optional) a. Tape one of the tape measures to the wall, beginning at floor level. Place the other tape measure along the floor to measure the distance from the wall to the flashlight. Place the block 25 cm from the wall. Place the mirror on top of the block. Stand on the side of the mirror opposite the wall. Aim the laser pointer toward the center of the mirror so that its image is reflected onto the tape measure attached to the wall. (See figure at right.) It is very important that you hold the laser pointer (or flashlight) at the same height throughout the experiment. Let x represent the distance from the wall to the laser pointer. Let y represent the distance that the reflection appears up the wall. Measure both x and y in centimeters. b. What is the distance from the wall to the center of the mirror? What is the distance from the laser pointer to the floor? What is the distance from the floor to the mirror? c. Collect at least eight data points and enter them in the table below. DISTANCE FROM THE WALL TO THE LASER POINTER (X) L DISTANCE FROM THE FLOOR TO THE REFLECTION () d. Sketch a graph of your data using the grid to the right. e. Use the information in parts (a) and (b) to determine the values of b and c in the a equation y=- +c. x-b f. Use your graph from (d) and the information from (e) to determine an equation for your graph. Equation: 360 320 280 240 200 160 120 80 40 50 100 150 200 250 300 350 400 450 500 g. If the information in parts (a) and (b) is also true for Bart and Lisa's situation, determine the distance that they should stand from the wall if the target is... i. 1 meter from the floor. ii. 3 meters from the floor. iii. 10 meters from the floor. Here's the additional information that might help you complete the experiment: Some rational functions can be written in the form where a, b, and c are constants, and b, c 0. y = a x-b x = the distance from the wall to the flashlight y = the height of the reflection on the wall -+c, Take the following measurements in centimeters and note down the values: a = the height of the flashlight from the floor b = the distance between the center of the mirror and the wall c = the distance between the floor and the mirror (or the thickness of the book) The student holding the flashlight goes to various distances away from the mirror, while making sure that the flashlight is held at the same height throughout the experiment. At each location, the student measures the following distances, in centimeters.