Respuesta :

Answer:

The constant of proportionality is 1.5 and the value of q is 9.

Step-by-step explanation:

Assume Hours as 'x' and Miles walked = 'y'

Constant of proportionality means the same value of [tex]$ \frac{y}{x} $[/tex] is maintained throughout.

So, note that [tex]$ \frac{3}{2} = \frac{6}{4} = \frac{12}{8} $[/tex] = 1.5

This means that [tex]$ \frac{q}{6} $[/tex] should also equal 1.5.

[tex]$ \implies \frac{q}{6} = 1.5 $[/tex]

[tex]$ \implies q = 1.5 \times 6 $[/tex] = 9.

Therefore, the value of 'q' is 9.