Question

The point 5 5/8, 2 1/4 lies on a line that represents proportional relationship. Part A Write an equation for this relationship. What is the constant of proportionality?

Answer 1

Answer:

The we equation is

$y = \frac{2}{5}x$

The constant of proportionality is

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

Step-by-step explanation:

The given point is

$(5 \frac{5}{8} ,2 \frac{1}{4} )$

A proportional relationship has a general equation of the form:

$y = kx$

We substitute the point into the equation to get:

$2 \frac{1}{4} = 5 \frac{5}{8}k$

Change to improper fractions to get:

$\frac{9}{4} = \frac{45}{8}k$

We multiply through by

$\frac{8}{45}$

This gives us:

$\frac{8}{45} \times \frac{9}{4} = k$

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

The equation is

$y = \frac{2}{5}x$