The table shows a proportional relationship.
x 1 2 3
y 14 28 42
Write an equation that represents the proportional relationship.
y equals 1 over 14 times x
y equals 1 over 2 times x
y = 2x
y = 14x
The equation that represents the proportional relationship in this table is y = 14x.
To determine the equation that represents the proportional relationship between x and y, we can use the formula y = kx, where k is the constant of proportionality.
Looking at the table, we can see that when x = 1, y = 14. This implies that k = y/x = 14/1 = 14.
Therefore, the equation that represents the proportional relationship is y = 14x.
To write an equation that represents a proportional relationship, you need to find the constant of proportionality. In this case, you can find the constant by dividing the values of y by the corresponding values of x.
If we divide each y-value by its corresponding x-value, we get:
y/x = 14/1 = 14
y/x = 28/2 = 14
y/x = 42/3 = 14
Since the ratio is the same for all three pairs of values, we can conclude that the constant of proportionality is 14.
Therefore, the equation that represents the proportional relationship is y = 14x.