5.Imagine you reposition the launcher so that the balloon will reach a maximum height of 4.5 meters when it reaches a location 4 metres away from where you are standing. This change causes your target to move to (8, 1.5). What is the quadratic equation, including your initial equation, including your initial position of (0, 1.5), to make sure you will hit the new target.
6.Sketch a graph for all 3 of your functions. Use am appropriate window or scale.
7.Balloon sales start to increase after your little prank. A local party supply company notices their maximum profit is reached when they sell 80 balloons and they earn $60 of profit. When they sell 50 balloons they earn $33 of profit. What is the quadratic equation in vertex form to represent their profit.
8.Convert your equation from vertex form to standard form.
9.As students get bored and move on to the next big thing, balloon sales start to decline. At what number of balloons will the supply store no longer make a profit?
10.Sketch a graph for your function from #9.
Algebra 2A 66505 Unit 04 - Lesson 02 Graded Assignment 10 7. Balloon sales start to increase after your little prank. A local party supply company notices that their maximum profit is reached when they sell 80 balloons and they earn $60 of profit. When they sell 50 balloons they earn $33 of profit. Write a quadratic equation in vertex form to represent their profit. (10 points) 8. Convert your equation from vertex form to standard form. (10 points) 9. As students get bored and move on to the next big thing, balloon sales start to decline. At what number of balloons will the supply store no longer make a profit? (10 points) 10. Sketch a graph for your function from #9. (10 points) University of Texas at Austin UT High SchoolAlgebra 2A 66505 Unit 04 - Lesson 02 Graded Assignment 10 3. Using your function from #2, determine where the balloon could be when it reaches 3 meters in height. (10 points) (0, 3 ) 3 = - 0.28 x 2 + 1. 67 x + 1.5 4. Does question 3 have one or two possible solutions? Explain. (10 points) One solution because the parabola must open downward to represent the path of a ballon 5. Imagine you reposition the launcher so that the balloon will reach a maximum height of 4.5 meters when it reaches a location 4 meters away from where you are standing. This change causes your target to move to (8,1.5). Write a quadratic equation, including your initial position of (0,1.5), to make sure you will hit the new target. (10 points) 6. Sketch a graph for all 3 of your functions. Use an appropriate window or scale. (10 points) University of Texas at Austin UT High SchoolCI The University of Texas at Austin 2:9:er w UT High SChOOl Quadratic Equations and v. Applications Illl'.' Graded Assignment 10 Water Balloon Assignment Directions: Determine the BEST response to each of question and show all your steps to earn the most credit. - The goal at this assignment is to plan out the water balloon launch that was described at the beginning oi Lesson 1. . Everything you need to know Is either described here or contained in Lessons 1 and 2. . Re-read the lesson 1 Engage page tor the description oi the scenario to which this assignment relates. it is important to note that you will want to make sure the balloon is launched high enough so that it almost touches the ceiling. That way. you will be sure the ilour explosion has maximum impact. in the story. the ceiling height was listed as 5 meters. but it is okay to assume that 5 meters is the Wot the balloon (Le. assume the ceiling is slightly taller than the 5 meters so that the top oi a balloon. whose center oi gravity is actually at 5 meters, will not strike the ceiling). 1. Let's say that you consider this on a coordinate plane and that your launcher is located at x = 0 and at an Initial height at 1.5 meters oil the ground. You estimate the location where the balloon hits the intended target to be (6, 1.5). a. Consider the path at the balloon to be a par la. Us the two given points to determine a possible location oi the vertex. (6 points) b. Write a quadratic iunctlon that tits W (4 points) (.0. 15) 87:2) )Cbcl: 0.3017;l +1.35x+l.6 2. Let's assume now that the balloon does not get too close to the ceiling. Let's say that you know the balloon will reach a maximum height 01 4 meters when it is above a spot 3 meters from where you are standing. Write the quadratic equation to represent this situation where the starting and landing locations are the same as given In question 1. (10 points) (one) 3,\" ((lo if?) {0}: \"0-2333 + NJ?\" l5 Unlversity of Texas at Austin UT High School 1
