Question

Identify if the given equation is a direct, inverse, joint or combined variation with k as the constant of variation.

1. b = kd

Answer 1

The given equations represent the following variations:

1. Direct variation.

2. Combined variation.

3. Inverse variation.

4. Direct variation.

5. Joint variation.

1. The equation b = kd represents a direct variation because b is directly proportional to d, and k is the constant of proportionality.

2. The equation y = klm represents a combined variation since y varies jointly with l and m, and k is the constant of variation.

3. The equation
`\(m = (kn)/(p)\)` is an inverse variation because m is inversely proportional to n and directly proportional to p, with k being the constant of proportionality.

4. The equation
`\((a)/(b) = kc\)` is a direct variation as a is directly proportional to b, and k is the constant of proportionality.

5. The equation mn = kpq is a joint variation involving the variables m, n, p, and q, with k as the constant of variation. This means that \(mn\) varies jointly with p and q, and k represents the constant of proportionality in this combined relationship.

Que. A. Identify if the given equation is a direct, inverse, joint or combined variation with k as the

constant of variation.

1. b = kd

2. y = klm

3. m = kn/p

4. a/b =kc

5. mn =kpq​