Question

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

Answer 1

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 2

Answer:

$y=1.6x$

Step-by-step explanation:

If y varies directly proportional with x, then equation is y=kx

where k is the constant of proportionality

$k=\frac{y}{x}$

LEts find out k

we use the table to find the value of k, divide y value by x value

$\frac{6.4}{4}=1.6$

$\frac{11.2}{7}=1.6$

$\frac{16}{10}=1.6$

$\frac{20.8}{13}=1.6$

1.6 is a constant . so k=1.6

y=kx

Replace the value of k, the equation becomes

$y=1.6 x$