What equation represents the proportional relationship displayed in the table?x 0 4 7 8y 0 24 42 48Enter your answer in the box to complete the equation.y = x

Answer:[tex]y=6x[/tex]Step-by-step explanation:Given:The table is given as:x   0    4       7       8y   0    24    42     48The relationship between 'x' and 'y' is a proportional relationship.A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and [tex]k\ne 0[/tex]A proportional relationship is given as:[tex]y=kx[/tex]Now, we plug in 'x' and 'y' values and find the value of 'k'.Let [tex]x=4\ and\ y=24[/tex][tex]24=k\times 4\\\\k=\frac{24}{4}=6[/tex]Therefore, the constant of proportionality is 6. Hence the complete equation is given as:[tex]y=6x[/tex]