Answer:
The linear equation is;
y = 320x + 7400
Step-by-step explanation:
Here, we want to write a linear equation that represents the population y at a year since 2005
To write this, we need points
Initially, we have (0,7400)
Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)
Mathematically, we can get the slope as follows;
m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320
The equation of the line can be represented using the general form as;
y = mx + b
where m is 320 and b is unknown
So we have the equation as;
y = 320x + b
we need to get b
To get b, we can use any point
let us use the point (0,7400)
substituting this;
7400 = 320(0) + c
c = 7400
so the equation is;
y = 320x + 7400
; where x >= 0;