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### Question

Express the following statements as equation of variation using “k” as constant.

1. ) p varies jointly as m and n.

2.) z varies directly as the square of x and inversely as y.

3.) d varies directly as the square root of b and inversely as the cube of c.

4.) C varies jointly as the square of q and inversely as the cube p.

5.) Volume (V) of a circular disc varies jointly as its thickness (t) and the square

of its radius (r).

6.) Volume (V) of a cone varies jointly as its height (h) and

length of the radius (r)

7.) Area (A) of a triangle varies jointly as the height (h) and the length

of the base (b).

8.) Resistance (R) of a wire varies directly with its length (l) and inversely as the

square of its diameter (d)

9.) Kinetic energy (E) of a moving object varies jointly as the mass (m) of the

object and the square of the velocity (v).

10.) Gravitational attraction (G) between two bodies varies jointly as their

masses m and m², and inversely as the square of the distance (d)

between them.

### Answer #1 for Questions: Express the following statements as equation of variation using “k” as constant.

1. ) p varies jointly as m and n.

2.) z varies directly as the square of x and inversely as y.

3.) d varies directly as the square root of b and inversely as the cube of c.

4.) C varies jointly as the square of q and inversely as the cube p.

5.) Volume (V) of a circular disc varies jointly as its thickness (t) and the square

of its radius (r).

6.) Volume (V) of a cone varies jointly as its height (h) and

length of the radius (r)

7.) Area (A) of a triangle varies jointly as the height (h) and the length

of the base (b).

8.) Resistance (R) of a wire varies directly with its length (l) and inversely as the

square of its diameter (d)

9.) Kinetic energy (E) of a moving object varies jointly as the mass (m) of the

object and the square of the velocity (v).

10.) Gravitational attraction (G) between two bodies varies jointly as their

masses m and m², and inversely as the square of the distance (d)

between them.

1. ) p varies jointly as m and n. **p = kmn**

2.) z varies directly as the square of x and inversely as y.

**z = (kx²)/y**

3.) d varies directly as the square root of b and inversely as the cube of c.

d = [k(√b)]/c³

4.) C varies jointly as the square of q and inversely as the cube p.

**C = (kq²)/p³**

5.) Volume (V) of a circular disc varies jointly as its thickness (t) and the square of its radius (r).

**V = ktr²**

6.) Volume (V) of a cone varies jointly as its height (h) and length of the radius (r)

**V = khr**

7.) Area (A) of a triangle varies jointly as the height (h) and the length of the base (b). **A = khb**

8.) Resistance (R) of a wire varies directly with its length (l) and inversely as the square of its diameter (d)

**R = (kI)/d²**

9.) Kinetic energy (E) of a moving object varies jointly as the mass (m) of the object and the square of the velocity (v).

**E = kmv²**

10.) Gravitational attraction (G) between two bodies varies jointly as their masses m and m², and inversely as the square of the distance (d) between them. *(Note: I will not ignore the error in this statement. Since this involves gravitation attraction between two bodies, it should be m₁ and m₂, the mass of two objects/bodies, and NOT m².)*

**G = (kmm²)/d²**

Thus the questions about **Express the following statements as equation of variation using “k” as constant. 1. ) p varies joint…**, hopefully with answer can help solve your problem.