Answer:
The we equation is
[tex]y = \frac{2}{5}x[/tex]
The constant of proportionality is
[tex]k = \frac{2}{5} [/tex]
Step-by-step explanation:
The given point is
[tex](5 \frac{5}{8} ,2 \frac{1}{4} )[/tex]
A proportional relationship has a general equation of the form:
[tex]y = kx[/tex]
We substitute the point into the equation to get:
[tex]2 \frac{1}{4} = 5 \frac{5}{8}k [/tex]
Change to improper fractions to get:
[tex] \frac{9}{4} = \frac{45}{8}k[/tex]
We multiply through by
[tex] \frac{8}{45} [/tex]
This gives us:
[tex] \frac{8}{45} \times \frac{9}{4} = k [/tex]
[tex]k = \frac{2}{5} [/tex]
The equation is
[tex]y = \frac{2}{5}x[/tex]
