10. The simplified form of the following expression is correct. 3. A colony of 500 ring tailed lemurs has been known to DOUBLE is size every year due to a lack of predators. Set up an exponential equation to find the number of lemurs there would be in 6 years. (3 24w5 d? marks) 12w2 6 = 2w3 d T/F Part C: Extended Response (22 Marks) 4. Determine the type (number) of roots for the following quadratic equations using the discriminant. Do NOT solve for the roots. (1 mark) 1. Determine the roots of the following quadratic equations, using the method stated: 0 =2x3 +3x+5 a. 8m' -12m +4 =0 (Factor Fully) (3 marks) b. 0 = 5x2 -8x + 3 (Quadratic formula) (3 marks) 5. The profit, P(x), of an amusement park is modelled by P(x) - -25x" + 950x + 3000, where x is the cost of a ticket in dollars. a. According to the model, what should the park charge per ticket to make the maximum profit? (4 marks) 2. What are the domain and range of #(x) - -(x-2)+3? (2 marks) b. What is that maximum profit? (1 mark) Page 5 of 9 Page 6 of 9