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Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60
We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2
We will have the following:
First, we will have that the population change by:
So, the population changed by 703 people.
It took the follwoing number of years to change from 1431 to 2134:
So, it took 4 years to changes from 1431 to 2134.
The average population growth per year is of 175.75 people per year.
The population in 2000 would have been:
So, the population in 2000 would have been approximately 1429 people.
We will have that the equation for the population would be:
So, the equation would be:
Now, we predict the number of people of the town in 2014:
So, there will be approximately 3890 people of the town in 2014.