Question

This graph shows a proportional relationship.

Answer 1

Answer:

k=$\frac{5}{4}$

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 ($(\frac{2}{5} ,\frac{1}{2} )$ given,

Using the (x,y) coordinate notation, $x=\frac{2}{5} ,y=\frac{1}{2}$

Substituting into y=kx

$\frac{1}{2} =\frac{2k}{5}$

Next we solve for k by multiplying both sides by $\frac{5}{2}$

$\frac{1}{2}X \frac{5}{2} =\frac{2k}{5} X \frac{5}{2}\\k= \frac{5}{4}$

Our answer as ratio in simplified form is given as 5:4 or 1:0.8

Answer 2

the constant proportionality is 2