Let d(t) be the number of dogs in the United States in year t, and let c(t) be the number of cats in the United States in year t, where t = 10 corresponds to 2010. (a) Find the function p(t) that represents the total number of dogs and cats in the United States. p(t) = d(t) + c(t) p(t) = d(t) c(t) p(t) = c(t) - d(t) p(t) = det) - c(t) p(t) = d(t) c(t) + 10 (b) Interpret p(13). Op(13) represents the number of years after 2010 when the number of dogs and cats is 13. P(13) represents the number of dogs and cats in 2003. p(13) represents the year in which the number of dogs and cats is 13. p(13) represents the number of dogs and cats in 2013. OP(13) represents the number of years after 2000 when the number of dogs and cats is 13. (c) Let n(t) represent the population of the United States in year t, where t = 10 corresponds to 2010. Find h(e) = PACO 006)-cc2 n(t) h(t) = c(t) – d(t) n(t) Oh(t) = d(t) + c(t) n(t) h(t) = 010).0(0) h(t) = d(t) c(t) + 10 n(t) n(t) Interpret h(t). It represents the number of dogs and cats per capita. It represents the number of cats per capita. It represents the number of dogs per capita. It represents the number of people who own both a dog and a cat. It represents the number of people who own either a dog or a cat but not both.