The number of people in a community who became infected during an epidemic t weeks after its outbreak is given 35,000 1+ ac where 35,000 people of the community are susceptible to the disease. Assume that 1000 people were infected initially and 8088 had been infected by the end of the fourth week. Complete parts a. and b.. by the function f(t) = kt a. Find the number of people infected after 8 weeks. 7 (Simplify your answer. Do not round until the final answer. Then round to the nearest whole number as needed.) b. After how many weeks will 22,119 people be infected? weeks (Simplify your answer. Do not round until the final answer. Then round to the nearest whole number as needed.)