Question 86615
In his television program, Notes from a Small Island, aired in February 1999. Bill discussed the future of the British aristocracy. Because not all families produce and heir, 4 or 5 noble lines die out each year. At this rate, Bill says, if no more peers are created, there will be no titled families left by the year 2175.
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A) Assuming that on average 4.5 titled families die out each year, write an equation for the number, N , of noble houses left in year t, where t = 0 in the year 1999.
:
If 4.5 die out each year and in (2175-1999) 176 years it's reduced to 0, then
4.5 * 176 = 792 families existed in 1999
:
N = 792 - 4.5t
:
You can see when t = 0 (1999), N = 792 families.
When t = 176 (2175), N = 0