In part b), Why does t = 20 need to be taken to get the answer? Step 1 of 2 Give

Question

In part b), Why does t = 20 need to be taken to get the answer?

Step 1 of 2 Given Q0-53billion and growth constant k-290-002 To determine the exponential growth model and population from 1990 to 2025 at 5 years interval (a) the exponential go wth The exponential rowth model for an initial quantity Qois given by e(e) where k is the growth constarnt Using the given data in the above equation leads to e(t) = 5.3°02t Now taking t= 0, 5, 10, 15, 20, 25, 30 and 35 in (1) gives e" , where k is the growth constant Year 1990 1995 2000 2005 2010 2015 2020 2025 Population In millions 5.3 5.86 6.47 7.15 7.98.74 9.66 10.67 The graph is given below: 30 20 10

Explanation / Answer

b) From the table in part a , 1990 corresponds to t=0

so for 2010, the years after 1990

t=2010-1990 =20

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