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Answer:
k = 3
Step-by-step explanation:
Given that y and x are directly related then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 81 when x = 27
k = =
= 3
The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
Reasons:
The table is presented as follows;
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹
The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
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