Question

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

1. b=kd
2. m= kn/p
3. mn=kpq
4. y=klm
5. a/b =kc

Answer 1

The given equations can be categorized as direct, inverse, joint, or combined variation.

Step-by-step explanation:

1. In the equation b = kd, b and d are directly proportional. When the value of b increases, the value of d also increases proportionally. Therefore, this equation represents a direct variation.

2. In the equation m = kn/p, m and n are inversely proportional to p. When the value of p increases, the value of m decreases proportionally, and vice versa. Therefore, this equation represents an inverse variation.

3. In the equation mn = kpq, m, n, and p are directly proportional to q. When the value of q increases, the values of m, n, and p also increase proportionally. Therefore, this equation represents a joint variation.

4. In the equation y = klm, y is directly proportional to k, l, and m. When the values of k, l, and m increase, the value of y also increases proportionally. Therefore, this equation represents a combined variation.

5. In the equation a/b = kc, a/b and c are directly proportional. When the value of a/b increases, the value of c also increases proportionally. Therefore, this equation represents a direct variation.