Given:
The equation is
[tex]-0.4x+0.05y-1.25=0[/tex]
Where, y is the total cost and x is the number of months.
To find:
The y-intercept of the line represented by this equation.
Solution:
We have,
[tex]-0.4x+0.05y-1.25=0[/tex]
Isolate y variable.
[tex]0.05y=0.4x+1.25[/tex]
Divide both sides by 0.05.
[tex]y=\dfrac{0.4x+1.25}{0.05}[/tex]
[tex]y=\dfrac{0.4x}{0.05}+\dfrac{1.25}{0.05}[/tex]
[tex]y=8x+25[/tex]
Putting x=0, we get
[tex]y=8(0)+25[/tex]
[tex]y=0+25[/tex]
[tex]y=25[/tex]
Therefore, the y-intercept of the given equation is 25 and the correct option is D.
