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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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The given lines are perpendicular to each other.
Further explanation:
Given lines are:
Line 1: y= -9/5x + 1/5
Line 2: y= 5/9x + 2/9
As the lines are in slope=intercept form, the co-efficient of x are their slopes
Let m1 be the slope of line 1 and m2 be the slope of line 2
Then
As we can see that the product of slopes of both lines is -1. The product of slopes of perpendicular lines is -1.
The given lines are perpendicular to each other.
Keywords: Slope, slope-intercept form
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