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Directions: Translate the following variation statement into mathematical symbols.
1. S varies inversely as m.
2. N varies jointly as E and T.
3. M varies jointly as the w and d and inversely as square root of x
4. R varies directly as b and inversely as e.
5. The area A of a rectangle varies jointly as the length l and width w.
6. The cost C of pen is directly proportional to the number of pen n.
7. Allan’s income I varies directly as the number of days N that he works.
8. Volume of a cone varies jointly as the height ℎ and the square of radius
9. The time taken to travel T is inversely proportional to the speed S of a moving car.
10. The cost C of fencing a rectangular lot is jointly proportional to its length l and width w.

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Smartboardgo Smartboardgo · Answer 1

Directions: Translate the following variation statement into mathematical symbols.

1. S varies inversely as m.

S = k/m

2. N varies jointly as E and T.

N = kET

3. M varies jointly as the w and d and inversely as square root of x

M = kwd/√x

4. R varies directly as b and inversely as e.

R = kb/e

5. The area A of a rectangle varies jointly as the length l and width w.

A = klw

6. The cost C of pen is directly proportional to the number of pen n.

C = kn

7. Allan’s income I varies directly as the number of days N that he works.

I = kN

8. Volume of a cone varies jointly as the height ℎ and the square of radius

V = khr²

9. The time taken to travel T is inversely proportional to the speed S of a moving car.

T = k/S

10. The cost C of fencing a rectangular lot is jointly proportional to its length l and width w.

C = klw