#1. the amount of radioactive isotope decays in half every 1 year. the amount of the isotope can be modeled by a. the starting amount of the isotope
b. the amount of the isotope after 1 year
c. the rate the isotope decreases
d. the number of years that have passed
#2. the population of a species of rabbit triples every year. this can be modeled by
f(x)=4(3)x and f(5)=972
what does the 5 represent? a. the starting population of the rabbits b. the population of the rabbits after 5 years c. the rat the population increases d. the number of years that have passed

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .