Your family plans to take a vacation this summer. For the cost of the vacation to be manageable, you determine that it will be in the best interest of your family to share a vacation home with other families. The cost c (in dollars)
per family of the vacation home is inversely proportional to the number 1 of families sharing the house. Your family
wants the cost of the house per family to be $800. Currently, with three families (including your family), the
vacation home rental cost is $1200 per family. How many more families have to join to get the vacation home to be
manageable for your family?

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?