Question 1

The intensity I light produced by a light source varies inversely as the square of the distance d from the source is written as __________

Accepted Answer

$I=\frac{k}{^{d^2}}$

Answer

$I=\frac{k}{^{d^2}}$

Answer

$I=\frac{k}{^{d^2}}$

Answer

$I=\frac{k}{^{d^2}}$

Question 2

The number of kilograms of water 𝑤 in a person’s body varies directly as the person’s mass 𝑚 is written as________

Accepted Answer

𝑤 = 𝑘𝑚

Answer

m = 𝑘w

Answer

$I=\frac{k}{^{d^2}}$

Answer

$I=\frac{k}{^{d^2}}$

Question 3

Which is an example of direct variation?

Accepted Answer

𝑦 = −8𝑥

Answer

$I=\frac{k}{^{d^2}}$

Answer

𝑥𝑦 = −8

Answer

$I=\frac{k}{^{d^2}}$

Question 4

If 𝑦 varies directly as 𝑥 and 𝑦 = 30 when 𝑥 = 5, find the constant of variation.

Accepted Answer

6

Answer

150

Answer

25

Answer

35

Question 5

Which is an example of inverse variation?

Accepted Answer

$I=\frac{k}{^{d^2}}$

Answer

$I=\frac{k}{^{d^2}}$

Answer

𝑥 = 13𝑦

Answer

𝑥 = 13𝑦

Question 6

If 𝑦 varies inversely as 𝑥 and 𝑦 = 6 when 𝑥 = 12, find the constant of variation.

Accepted Answer

72

Answer

2

Answer

18

Answer

6

Question 7

Which of the following describes a direct variation?

Accepted Answer

x: 2 4 6 8

y: 8 16 24 32

Answer

x: 1 2 4 8

y: 1 4 9 16

Answer

x: 4 8 12 16

y: -12 -24 -36 -48

Answer

x: 1 2 4 8

y: 40 20 10 5

Question 8

Which of the following describes an inverse variation?

Accepted Answer

x: 4 8 16 32

y: 64 32 16 8

Answer

x: 3 6 9 12

y: 15 12 9 6

Answer

x: 1 2 3 4

y: 10 20 30 40

Answer

x: 1 3 5 7

y: 32 24 16 8

Question 9

Which variation statement describes the graph?

Accepted Answer

𝑦 varies inversely as 𝑥, where 40 is the constant of variation

Answer

𝑦 varies directly as 𝑥, where 20 is the constant of variation

Answer

𝑦 varies inversely as 𝑥, where 20 is the constant of variation

Answer

𝑦 varies directly as 𝑥, where 40 is the constant of variation

Question 10

Which variation statement describes the graph?

Accepted Answer

𝑦 varies directly as 𝑥, where 3 is the constant of variation

Answer

𝑦 varies directly as 𝑥, where 2 is the constant of variation

Answer

𝑦 varies inversely as 𝑥, where 2 is the constant of variation

Answer

𝑦 varies inversely as 𝑥, where 3 is the constant of variation

Question 11

Which variation statement represents the table of values?

x: $\frac{1}{3}\ \ \ \ \ \ \ \ \frac{1}{6}\ \ \ \ \ \ \ \ \frac{1}{9}\ \ \ \ \ \ \ \ \ \frac{1}{12}$

y: 36 72 108 144

Accepted Answer

𝑦 varies inversely as 𝑥 where 12 is the constant of variation

Answer

𝑥 varies directly as 𝑦 where 12 is the constant of variation

Answer

𝑥 varies directly as 𝑦 where 12 is the constant of variation

Answer

𝑦 varies directly as 𝑥 where 12 is the constant of variation

Question 12

Which mathematical equation represents the table of values below?

x: 8 24 40 64

y: 32 96 160 256

Accepted Answer

𝑦 = 4𝑥

Answer

𝑥 = 4𝑦

Answer

$I=\frac{k}{^{d^2}}$

Answer

$I=\frac{k}{^{d^2}}$

Question 13

If 𝑦 varies directly as 𝑥 and 𝑦 = 120 when 𝑥 = 8, find 𝑦 when 𝑥 = 10.

Accepted Answer

150

Answer

15

Answer

96

Answer

80

Question 14

If 𝑦 varies directly as 𝑥 and 𝑦 = 4 when 𝑥 = 10, find 𝑥 when 𝑦 = 12.

Accepted Answer

30

Answer

8

Answer

40

Answer

14

Question 15

If 𝑦 varies inversely as 𝑥 and 𝑦 = 14 when 𝑥 = 3, find 𝑦 when 𝑥 = 6.

Accepted Answer

7

Answer

9

Answer

8

Answer

10

Question 16

If 𝑦 varies inversely as 𝑥 and 𝑦 = 9 when $x=\frac{2}{3},$ find 𝑦 when 𝑥 = 1.

Accepted Answer

6

Answer

7

Answer

5

Answer

4

Question 17

The amount of money raised at a charity fundraiser varies directly to the number of attendees. The amount of money raised for five attendees was P 1000. How much money will be raised for 60 attendees?

Accepted Answer

Php 12,000

Answer

Php 10, 000

Answer

Php 16, 000

Answer

Php 14, 000

Question 18

The number of days to construct a house varies inversely as the number of workers. It takes 10 days for 6 workers, how many workers are needed to finish the job in12 days?

Accepted Answer

5 workers

Answer

4 workers

Answer

6 workers

Answer

7 workers

Question 19

The time it takes to travel from Marikina City to Baguio City varies inversely as the speed of the car. If the travel takes 5 hours at an average speed of 80kph, how long would it take travel at an average speed of 40 kph?

Accepted Answer

10 hours

Answer

8 hours

Answer

20 hours

Answer

16 hours

Question 20

On a map, distance in km and distance in cm varies directly, and 25 km are represented by 2 cm. If two cities are 8 cm apart on the map, what is the actual distance between them?

Accepted Answer

100 km

Answer

75 km

Answer

125 km

Answer

50 km

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