6. Manitoba has many biopharmaceutical companies. Suppose scientists at one of these companies grow two different cell cultures in an identical nutrient-rich medium. The rate of increase, S, in square millimetres per hour, of the surface area of each culture after t hours is modelled by the following quadratic functions: First culture: S(t) =- 0. 007t + 0. 05t Second culture: S(t) =- 0. 0085t + 0. 06t a) Solve the system algebraically. (3 marks) b) Interpret your solution. (1 mark)