Answer:
k=[tex]\frac{5}{4}[/tex]
5:4 or 1:0.8
Step-by-step explanation:
Since the graph ascends, it means when y(on the horizontal axis) increases, x (in the vertical axis increases)
This is an example of a direct proportion.
y=kx where k is the constant of proportionality.
From the point ([tex](\frac{2}{5} ,\frac{1}{2} )[/tex] given,
Using the (x,y) coordinate notation, [tex]x=\frac{2}{5} ,y=\frac{1}{2}[/tex]
Substituting into y=kx
[tex]\frac{1}{2} =\frac{2k}{5}[/tex]
Next we solve for k by multiplying both sides by [tex]\frac{5}{2}[/tex]
[tex]\frac{1}{2}X \frac{5}{2} =\frac{2k}{5} X \frac{5}{2}\\k= \frac{5}{4}[/tex]
Our answer as ratio in simplified form is given as 5:4 or 1:0.8
