Optimization Made Easy with the TI-84 Plus CE

Learn how to solve a classic optimization problem using the TI-84 Plus CE graphing calculator! In this tutorial, we find the shortest length of rope connecting two posts while touching the ground between them. Rather than using calculus or geometry, we use the powerful graphing and minimum-value features of the TI-84 Plus CE to find the solution quickly and accurately. In this video, you'll learn how to: ✅ Build a table of values on the TI-84 Plus CE ✅ Define and evaluate an optimization function ✅ Graph the function and identify its behavior ✅ Use the CALCULATE → Minimum feature ✅ Interpret the calculator's results ✅ Verify the minimum rope length and location Problem Overview Two posts: 6 ft and 8 ft tall Distance between posts: 10 ft Find the shortest rope that touches the ground between the posts Results Ground contact point: x=30/7 ≈ 4.286 ft Minimum rope length: 2sqrt(74) ≈ 17.205 ft This lesson is perfect for students studying: Optimization Precalculus Calculus Graphing Calculator Techniques Applied Mathematics If you enjoyed this tutorial, be sure to like, subscribe, and check out the companion videos where we solve the same problem using calculus and a clever geometry reflection trick. #TI84 #TI84PlusCE #Optimization #Calculus #Precalculus #GraphingCalculator #Mathematics #STEM #MathTutorial #TeacherTube #Education #ProblemSolving