SOLUTION: In his television program, Notes from a Small Island, aired in February 1999. Bill discused the future of the British aristocracy. Because not all families produce and hier, 4 or 5

Question 86615This question is from textbook
: In his television program, Notes from a Small Island, aired in February 1999. Bill discused the future of the British aristocracy. Because not all families produce and hier, 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.
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. This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.
:
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
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