The function P (() -0.068r +7.85t+56 can be used to approximate the population, In thousands, of Clarksville between 1960 and 2000. The domaln t of the function Is the number of years since 1960, According to the model, In what year did the population of Clarksville reach 200, 000 people? Work: A. 1974 B. 1977 C. 1981 D. 1983

Children in Preschool and Kindergarten :: Based on data provide by the Census Bureau, the number of American children age 3 to 5 years enrolled in preprimary school (preschool and kindergarten) can be modeled by the function p(y) = 121.46y + 5231.31, where p represents the number of children enrolled (in thousands) and y is the number of years since 1980. Evaluate p(27). Explain what the numerical answer represents in its real-world context.

Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.] a. Find an equation of f. f(t) = ¹ b. How many people (past and present) will have heard the rumor 10 days from now? people c. How many people (past and present) will have heard the rumor 15 days from now? people Has model breakdown occurred? A. Model breakdown has occurred because the value for f(15) is greater than the population. B. Model breakdown has not occurred because the value for…

Use the functions ?(?) = 3 − 2?2 and ?(?) = √? for the following function compositionproblems.   Find (? ∘ ?)(?)