2. A car manufacturer does performance tests on its cars. During one test, a car starts from rest and accelerates at a constant rate for 20 seconds. Another car starts from rest 3 seconds later and accelerates at a faster constant rate. The equation that models the distance the first car travels is d = 1. 16t", and the equation that models the distance the second car travels is d = 1. 74(t - 3) , where t is the time, in seconds, after the first car starts the test, and d is the distance, in metres. a) Write a system of equations that could be used to compare the distance travelled by both cars. (1 mark) b) Sketch a graph of the system and determine the approximate solution. (2 marks) c) Describe the meaning of the solution in context. (1 mark)