Question

What equation represents the proportional relationship displayed in the table?

X: 0, 3, 8, 13
Y: 0, 18, 48, 78

Enter your answer in the box to complete the equation


y=___ x

Answer 1

`\text{If x and y are proportional, then the quotient of x and y is constant}\\\\(y)/(x)=const.=a\to y=ax\\\\x=3,\ y=18\to(y)/(x)=(18)/(3)=6\\\\\text{therefore}\ \boxed{y=6x}\\\\\text{Check:}`

`x=0\to y=6(0)=0\\\\x=3\to y=6(3)=18\\\\x=8\to y=6(8)=48\\\\x=13\to y=6(13)78\\\\\boxed{y=6x}`