William and Maggie are competing in a triathlon like the one described in Organizing a Triathlon Maggie begins the bicycle portion of the triathlon half an hour ahead of William, and rides at a rate of 12 mi/h. William rides at a rate of 18 mi/h. In the table t represent the time, in hours that Maggie rides her bicycle. Who or What Rate Time (1) Distance (d) Maggie 12mih t 12t William 18mi/h a. b. 1. Copy and complete the table above. (4 marks) 2. Write a system of equations using t representing time and d representing distance to model William's and Maggie's bicycle portions of the triathlon. 3. Using the systems of equations in 2, copy and complete the table of values below for the system of equations. (2 marks) Time t (hour) Maggie Distance (miles) 0 0 12 a. 1 12 1% b. (6 marks) Time t (hour) William c. Distance (miles) d= ?? 0 d. 12 1 1% 4. Use the table of values to graph the system of equations on the same Cartesian Plane. 5. Does your graph give the same amount of time for William to catch up with Maggie as the table from Task 1? If yes show and label on the graph. (2 mark) 6. Using the graph, indicate and state on the graph, after how many miles will William catch up with Maggie? (3 marks) William and Maggie are competing in a triathlon like the one described in Organizing a Triathlon Maggie begins the bicycle portion of the triathlon half an hour ahead of William, and rides at a rate of 12 mi/h. William rides at a rate of 18 mi/h. In the table t represent the time, in hours that Maggie rides her bicycle. Who or What Rate Time (1) Distance (d) Maggie 12mih t 12t William 18mi/h a. b. 1. Copy and complete the table above. (4 marks) 2. Write a system of equations using t representing time and d representing distance to model William's and Maggie's bicycle portions of the triathlon. 3. Using the systems of equations in 2, copy and complete the table of values below for the system of equations. (2 marks) Time t (hour) Maggie Distance (miles) 0 0 12 a. 1 12 1% b. (6 marks) Time t (hour) William c. Distance (miles) d= ?? 0 d. 12 1 1% 4. Use the table of values to graph the system of equations on the same Cartesian Plane. 5. Does your graph give the same amount of time for William to catch up with Maggie as the table from Task 1? If yes show and label on the graph. (2 mark) 6. Using the graph, indicate and state on the graph, after how many miles will William catch up with Maggie