For the given data, we will arrange the income per year from the least to the greatest then we will graph the income per year as (x) and saving per year as (y)
The following table represents the given data:
Now, we will graph the equation that represents the table
The general equation has the form: y = m * x + b
Where (m) is the slope and (b) is the y-intercept
[tex]m=\frac{0-(-500)}{5000-0}=\frac{500}{5000}=0.1[/tex]
The value of (b) = the value of (y) when (x = 0)
So, b = -500
The equation of the line will be:
[tex]y=0.1x-500[/tex]
The graph of the table will be as shown in the following picture:
We will find the saving when x = $12,500
So, y = 0.1 * 12500 - 500 = 750
