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Pod webwork2.wcu.edu Previous Problem Problem List Next Problem (1 point The populations, P, of six towns with time t in years are given by 1 P 2400 (0.8) 1800 (1.191 2 P 3 P 500(1.16) 4P 2200 (0.96) 5 P 1200 (1.03) 6 P 800(0.74) Answer the following questions regarding the populations of the six towns above. Whenever you need to enter several towns in one answer, enter your answer as a comma separated list of numbers. For example if town 1, town 2, town 3, and town 4, are all growing you could enter 1, 2, 3, 4 or 2, 4, 1, 3 or any other order of these four numerals separated by Commas.

Solution

a) P = Po(a)^t

when a> 1 growing ; a<1 decaying

So, 2, 3, 5 are growing

b) shrinking or decaying : 1, 4 , 6

c) fastest growing ; one with \'a\' maximum

2

d) 6 is fastest shrinking

e)   Po = 2400 ; 1 has the largest intial population

f) Po = 500; 3 has the smallest intial population