Respuesta :
Using a proportional relationship, it is found that when x = 6, f(x) = 72.
A proportional relationship is modeled by:
[tex]f(x) = kx[/tex]
In which k is the constant of proportionality.
In this problem, f(x) = 24 when x = 2, which is used to find k.
[tex]f(x) = kx[/tex]
[tex]2k = 24[/tex]
[tex]k = \frac{24}{2}[/tex]
[tex]k = 12[/tex]
Hence, the relationship is:
[tex]f(x) = 12x[/tex]
When x = 6:
[tex]f(6) = 12(6) = 72[/tex]
A similar problem is given at https://brainly.com/question/25378459
