Answer:
The constant of proportionality for the table will be: k=6
Thus, the equation becomes
[tex]y=kx[/tex]
Step-by-step explanation:
The constant of proportionality, k, is the constant value of the ratio of two proportional quantities y and x.
We know the equation
[tex]y=kx[/tex]
where k is the constant of proportionality.
Looking at the graph,
at x=7, the value of y=42
so the ratio of y/x = 42/7 = 6
at x=14, the value of y=84
so the ratio of y/x = 84/14 = 6
at x=21, the value of y=126
so the ratio of y/x = 126/21 = 6
at x=28, the value of y=168
so the ratio of y/x = 168/28 = 6
We observe that the ratio of y/x remains constant which y/x=6
so using the equation
[tex]y=kx[/tex]
take any point let say (7, 42)
42 = k(7)
42/7=k
6 = k
Therefore, the constant of proportionality for the table will be: k=6
Thus, the equation becomes
[tex]y=kx[/tex]
[tex]y=6x[/tex]
