Answer:
y = 6x
Step-by-step explanation:
y α x
y = kx
Where k is the constant of proportionality.
When y = 42; x = 7;
We substitute these known values in the equation,
y = kx
42 = k7
Dividing both sides of the equation by 7 to find the value for k, we have
42/7 = k7/7
Therefore,
K = 6.
Having found the value of k,
We substitute this value into the relationship
y = kx
Therefore we have,
y = 6x.
The direct variation function is therefore,
y = 6x.