If m is directly proportional to n and m = 4 when n = 2 what is the equation connecting m and n
If m is directly proportional to n, we can write the equation as:
m = kn
where k is the constant of proportionality.
To find the value of k, we can use the given information m = 4 when n = 2:
4 = k(2)
Dividing both sides by 2, we have:
2 = k
Thus, the equation connecting m and n is:
m = 2n
If m is directly proportional to n, this means that m and n are related by a constant ratio. Let's call this constant ratio k.
We can write the equation for direct proportionality as:
m = k * n
Given that m = 4 when n = 2, we can substitute these values into the equation to find the value of k:
4 = k * 2
Dividing both sides of the equation by 2, we can solve for k:
4/2 = k * 2/2
2 = k
Therefore, the equation connecting m and n is:
m = 2n