VARIATION

1. Which of the following mathematical statements is an example of combined variation, where k is the constant of variation?

• A. Y = kab²

• B. Y = kab²/c

• C.Y = kb²

• D. k = a/b

2. If x varies directly as y and inversely as r, then which of the following equations describes the relation among the three variables x, y and r?

• A. x = ky /r

• B. r = ky/x

• C. x = kr /y

• D. x = y /r

3. What is the constant of variation in the equation n = 8x?

• A. x

• B. n

• C. 8

• D. 8x

4. The electric power P varies jointly as the resistance R and the square of the current I can be written as

• A. P = RI²

• B. P = RI

• C. P = I/R

• D. P = kRI²

5. What happen to D when R is doubled in the equation D = 10R?

• A. D is tripled

• B. D is doubled

• C. D becomes zero

• D. D is halved

6. The number of cake slices c varies inversely as the number of persons n sharing the a whole cake, can be written as

• A. c = kn

• B. k = c/n

• C. c= k/n

• D. n = kc

7. Z varies directly as the square of w and inversely as h can be translated as

• A. Z = w/h

• B. z = kw²/h

• C.Z = kwh

• D. z = kwh²

8. The area A of a parallelogram varies jointly as the base b and altitude h.

• A. A = kbh

• B. B = kh/A

• C. A = bh

• D. A = kh/b

9. The income ( I ) of a dressmaker earning k pesos per hour varies directly as the number of hours ( h ) she works.

• A. H = k I

• B. I = h/k

• C.I = kh

• D. I = k/h

10. The bus travels a distance of d km in t hours. The formula that relates d to t is d = kt. What kind of variation is it?

• A. Joint

• B. Direct

• C. Inverse

• D. Combined