Summative Test in Variations
Quiz by Violentina Asuncion
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- Q1
The number of hours h required to finish a job varies inversely as the number of workers w on the job .What is the equation of variation for the relationship between h and w?
𝑤=ℎ/𝑘
ℎ=𝑘/𝑤
h=𝑘𝑤
𝑤=𝑘ℎ
30sM9AL-IIa-b-1 - Q2
The cost of d of dragon fruit varies directly as its weight w. What is the equation of variation for the relationship between d and w?
𝑑=𝑘𝑤
𝑘=𝑑𝑤
𝑑=𝑘/𝑤
𝑤=𝑘/𝑑
30sM9AL-IIa-1 - Q3
A computer encoder can type n words in t hours.
The formula that relates n to t is 𝒏 =𝒌/𝒕.
What kind of variation is this?
Combined variation
Inverse variation
Direct variation
Joint variation
30sM9AL-IIa-1 - Q4
Which of the equations below is an example of a direct variation?
𝑥 = 2 /𝑦
𝑦 = 2 /𝑥
𝑦 = 2𝑥
𝑥𝑦=2
30sM9AL-IIa-1 - Q5
Given that y varies directly as x and y =56 when x =7, find the constant of variation.
28
7
32
8
30sM9AL-IIb-c-1 - Q6
Which of the following table of values describes an inverse variation?
A
M
T
H
30sM9AL-IIa-b-1 - Q7
The stiffness of a beam varies jointly as its width and thickness and inversely as the square of its length. Find the change in stiffness if each of the three dimensions is increased by 10%.
1%
0%
10%
1.21%
30sM9AL-IIb-c-1 - Q8
What happens to S when t is tripled in the equation 𝑆=2𝑡 ?
S is tripled.
S is halved.
S is doubled.
S does not changed.
30sM9AL-IIb-c-1 - Q9
If y varies directly as x and y =6 when x =4, find y when x = 10 .
3
24
15
4
30sM9AL-IIb-c-1 - Q10
What mathematical statement describes the given table of values ?
𝑙 / 𝑤=36
𝑙= 𝑤/36
𝑤 = 𝑙/36
𝑙𝑤=36
30sM9AL-IIa-b-1 - Q11
If y varies inversely as x and y =50 when x =4, find y when x = 40 M. 5 A. 10 T. 40 H. 50
10
50
40
5
30sM9AL-IIb-c-1 - Q12
What happens to y when x is doubled in the relation 𝑦=𝑘/𝑥 ?
y is doubled.
y is halved .
y is tripled.
y is divided by 3.
30sM9AL-IIb-c-1 - Q13
The distance d of a freely falling body varies directly as the square of the time t during which the body falls. What is the equation of variation which describe the situation?
𝑡²=𝑘 / 𝑑
𝑑=𝑘𝑡²
𝑘=𝑑𝑡²
𝑑=𝑘/𝑡²
30sM9AL-IIb-c-1 - Q14
Given the statement of variation: The distance (d) of a freely falling body varies directly as the square of the time (t) during which the body falls., what is the value of k if the body falls approximately 20 meters In 2 seconds?
10
5
4
12
30sM9AL-IIb-c-1 - Q15
The area A of a circle varies directly as the square of the radius r.
If A =16π when r = 4, What is the value of A when r =7 ?
49π
3π
7π
14π
30sM9AL-IIb-c-1
