MHF4U - Advanced Functions Modelling Rates of Change Assignment A MHF4U - Advanced Functions Modelling Rates of Change Assignment A Name: 5. [2T, 1C] Imagine if you were given the chance to drive the new a) At which point on your graph did you experience your greatest IROC? b) Why did you choose this point? Tesla Cybertruck and you are collecting data about the Cybertruck's speed and time. You are very excited and jump into car and put on your seatbelt. You start the engine and begin driving the truck down a straight road. While driving you decide to record data as you finish your test drive. The screen inside the truck displays the speed in miles per hour (mph) and time in seconds. 1. [1K) In this data, what is your independent variable? 6. [3A, 1C] Draw a tangent line on your graph at the point you chose in Q6. What is your IROC at this point? Show any/all calculations below. Please include correct units of measure in your answer. 2. [1K] In this data, what is your dependent variable? X 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 60 55.5 42.6 35.0 22.4 20.0 10.2 4.5 1 0 3. [2A, 5C] Use the data in your table above to create a graph on the grid below. Draw a curve of best fit (do not try to connect all the points. Draw a line that follows the trend of the most points). Make sure to follow all the graphing rules from the checklist you received in class! Give your graph a title. 7. [2T, 1C] At which point on your graph did you experience your lowest IROC? Why did you choose this point? 8. [3A, 1C] Draw a tangent line on your graph at the point you chose in Q8. What is your IROC at this point? Show any/all calculations below. Please include correct units of measure in your answer. Use your graph to answer the questions below: 4. a) [3A, 1C] Draw a secant line on your graph and use it to determine your AROC for the whole 9. [2T, 1C] journey. Show any/all calculations below. Please a) If you were to create an equation to represent the data in your graph, what kind of equation would you choose (linear, include the correct units of measure in your answer. quadratic, exponential, cubic, square root, etc.)? b) Why would this type of equation best represent your graph? Explain. Feedback Hub b) [IT] What does the AROC represent in this data? : How likely are you to recommend thi 10 PC to a friend or colleague