Determine whether y varies directly with x. If so, find the constant of variation k and write the equation

y/x = k
6.4/4 = 1.6
11.2 / 7 =1.6
16/10 = 1.6
20.8 /13 =1.6
This is a direct variation and the constant is 1.6
y=1.6x
Answer:
[tex]y=1.6x[/tex]
Step-by-step explanation:
If y varies directly proportional with x, then equation is y=kx
where k is the constant of proportionality
[tex]k=\frac{y}{x}[/tex]
LEts find out k
we use the table to find the value of k, divide y value by x value
[tex] \frac{6.4}{4}=1.6[/tex]
[tex] \frac{11.2}{7}=1.6[/tex]
[tex] \frac{16}{10}=1.6[/tex]
[tex] \frac{20.8}{13}=1.6[/tex]
1.6 is a constant . so k=1.6
y=kx
Replace the value of k, the equation becomes
[tex]y=1.6 x[/tex]