Find the constant (k) of proportionality in the table. What equation represents the table?

Question

(1 point)
Responses

y = 1/4 x
y = 1/4 x

y = 4x
y = 4x

y=8x + 2
y=8x + 2

y=1/8x

Answer 1

To find the constant of proportionality (k), we can use the first two points in the table, (2, 0.5) and (4, 1).

Let's use the formula: k = y / x

For the points (2, 0.5):
k = 0.5 / 2
k = 0.25

For the points (4, 1):
k = 1 / 4
k = 0.25

Both calculations give us k = 0.25, which represents the constant of proportionality.

The equation that represents the table is:
y = 0.25x or equivalently y = 1/4 x.