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Q2_Homework_1_Variations

Total questions: 15

Worksheet time: 44mins

Name
Class
Date
1.

“A car travels a distance of d kilometers in t hours. What type of variation illustrates this situation?

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variation

d)

Combined Variation

2.

“The number of pizza slices to the number of person sharing a whole pizza” illustrates what kind of variation?

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variation

d)

Combined Variation

3.

Suppose "y varies directly as x". If y = 42 when x = 6, solve for the constant, k.

a)

252

b)

42

c)

7

d)

6

4.

Suppose "y varies directly as x". If y = 42 when x = 6, find y when x = 8.

a)

48

b)

56

c)

63

d)

72

5.

Suppose "y varies inversely with x". If y = 25 when x = 2, solve for the constant, k.

a)

250

b)

50

c)

10

d)

5

6.

Suppose "y varies inversely with x". If y = 25 when x = 2, find y when x = 5.

a)

250

b)

50

c)

10

d)

5

7.

Alexa uses 400 g of flour to make 8 muffins. How much flour would he need to make 30 muffins?

a)

50 grams

b)

150 grams

c)

500 grams

d)

1500 grams

8.

If the job to paint a fence is inversely proportional to the hours it will finish. If 4 people can paint a fence in 3 hours. How long will it take 6 people to paint it?

a)

1 hour

b)

2 hours

c)

4 hours

d)

5 hours

9.

"The mass of a rectangular sheet of wood varies jointly as the length and the width". When the length is 20 cm and the width is 10 cm, the mass is 200 grams. Find the mass when the length is 15 cm and the width is 10 cm.

a)

300 grams

b)

250 grams

c)

150 grams

d)

100 grams

10.

The volume V of a gas varies directly as its temperature t and inversely as its pressure P. If V = 80ml when t = 300 C and the P = 10kg/cm2, what will be the volume when t = 200 C and the P = 20kg/cm2?

a)

20.33 ml

b)

20.67 ml

c)

26.33 ml

d)

26.67 ml

11.

Write an equation


The cost C of fish varies directly as its weight w in kilogram.

a)

C =kw

b)

W=kc

c)

K= Cw

d)

K =w/c

12.

Write an equation


The distance D travelled by a car is directly proportional to its speed s.

a)

S=kd

b)

D=k/s

c)

D=ks

d)

K=Ds

13.

The electrical voltage V varies jointly as the current I and the resistance R.

What is its translation?

a)

V=klR

b)

V=kR

c)

V=k/IR

d)

V=kI/R

14.

H varies directly as the square root of F and inversely as the square of G. Given that the constant is k, find the relation betweehn H, F and G.

a)

H=kF2G2H=\frac{kF^2}{G^2}

b)

H=kG2FH=\frac{kG^2}{\sqrt{F}}

c)

H=kFG2H=\frac{k\sqrt{F}}{G^2}

d)

H=kFGH=\frac{k\sqrt{F}}{G}

15.

The equation y=x/4 represents:

a)

direct variation

b)

joint variation

c)

inverse variation

d)

none of these