Find the constant (k) of proportionality in the table. What equation represents the table?
x: 2,3,8,10
y: 8,12,32,40
options:
y = 1/4 x
y = 4x
y=8x + 2
y=1/8x
To find the constant of proportionality (k), we will pick two points from the table and form an equation.
Let's use (x1, y1) = (2, 8) and (x2, y2) = (10, 40)
k = (y2 - y1) / (x2 - x1)
k = (40 - 8) / (10 - 2)
k = 32 / 8
k = 4
Therefore, the constant of porportionality (k) in this table is 4.
The equation that represents the table is y = 4x.
Therefore, the correct option is y = 4x.