One model for the way diseases die out when properly treated assumes that the rate startfraction dy over dt endfraction at which the number of infected people changes is proportional to the number y. the number of people cured is proportional to the number that have the disease. suppose that in any given year, the number of cases of a disease is reduced by 23%. there are 10,000 cases today. a. how long will it take to reduce the number of cases to 1000? b. how long will it take to eradicate the disease, that is, reduce the number of cases to less than 1?