It is believed that life appeared on Earth when 2 sets of proteins merged together to form the first life form. Let's call this life form C and the two proteins A and B. To form life, 2 grams of A and 3 grams of B are needed to form 5 grams of C. In a pond, 50 g of C is formed after 60 minutes. Assume that the rate of reaction is proportional to the product of the remaining amounts of A and B. If 100 g of A and 80 g of B were initially present in the pond, find: a. The amount of C as a function of time. b. How much life form (in grams) is present after 1 hour and 15 minutes?