Writing an Equation to Represent a Proportional Relationship Online Quiz


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Questions and Answers
Q 1 - Write an equation to represent the proportional relationship given in the table.

x 5 6 8 15 20
y 20 24 32 60 80

Answer : A

Explanation

Step 1:

From given table of values

$\frac{y}{x} = \frac{20}{5} = \frac{24}{6} = \frac{32}{8}… = \frac{4}{1}$

Step 2:

So, the equation representing this proportional relationship is $y = \frac{4}{1} \times \frac{x}{1} = \frac{4x}{1} = 4x$

or $y = 4x$

Q 2 - Write an equation to represent the proportional relationship given in the table.

m 6 12 18 22 24
n 9 18 27 33 36

Answer : B

Explanation

Step 1:

From given table of values

$\frac{n}{m} = \frac{9}{6} = \frac{18}{12} = \frac{27}{18}…= \frac{3}{2}$

Step 2:

So, the equation representing this proportional relationship is $n = \frac{3}{2} \times \frac{m}{1} = \frac{3m}{2}$

or $n = \frac{3m}{2}$

Q 3 - Write an equation to represent the proportional relationship given in the table.

c 3 9 15 21 33
d 4 12 20 28 44

Answer : D

Explanation

Step 1:

From given table of values

$\frac{d}{c} = \frac{4}{3} = \frac{12}{9} = \frac{20}{15}… = \frac{4}{3}$

Step 2:

So, the equation representing this proportional relationship is $d = \frac{4}{3} \times \frac{c}{1} = \frac{4c}{3}$

or $d = \frac{4c}{3}$

Q 4 - Write an equation to represent the proportional relationship given in the table.

k 3 12 15 27 36
l 7 28 35 63 84

Answer : C

Explanation

Step 1:

From given table of values

$\frac{l}{k} = \frac{7}{3} = \frac{28}{12} = \frac{35}{15}… = \frac{7}{3}$

Step 2:

So, the equation representing this proportional relationship is $l = \frac{7}{3} \times \frac{k}{1} = \frac{7k}{3}$

or $l = \frac{7k}{3}$

Q 5 - Write an equation to represent the proportional relationship given in the table.

y 6 18 24 39 48
z 14 42 56 91 112

Answer : B

Explanation

Step 1:

From given table of values

$\frac{y}{z} = \frac{14}{6} = \frac{42}{18} = \frac{56}{24}… = \frac{7}{3}$

Step 2:

So, the equation representing this proportional relationship is $y = \frac{7}{3} \times \frac{z}{1} = \frac{7z}{3}$

or $y = \frac{7z}{3}$

Q 6 - Write an equation to represent the proportional relationship given in the table.

a 5 7 8 9 11
b 15 21 24 27 33

Answer : A

Explanation

Step 1:

From given table of values

$\frac{b}{a} = \frac{15}{5} = \frac{21}{7} = \frac{24}{8}… = \frac{3}{1}$

Step 2:

So, the equation representing this proportional relationship is $b = \frac{3}{1} \times \frac{a}{1} = \frac{3a}{1} = 3a$

or b = 3a

Q 7 - Write an equation to represent the proportional relationship given in the table.

p 6 10 13 14 18
q 18 30 39 42 54

Answer : C

Explanation

Step 1:

From given table of values

$\frac{q}{p} = \frac{18}{6} = \frac{30}{10} = \frac{39}{13}… = \frac{3}{1}$

Step 2:

So, the equation representing this proportional relationship is $q = \frac{3}{1} \times \frac{p}{1} = \frac{3p}{1} = 3p$

or q = 3p

Q 8 - Write an equation to represent the proportional relationship given in the table.

r 10 20 30 40 50
s 6 12 18 24 30

Answer : D

Explanation

Step 1:

From given table of values

$\frac{s}{r} = \frac{6}{10} = \frac{12}{20} = \frac{18}{30}… = \frac{3}{5}$

Step 2:

So, the equation representing this proportional relationship is $s = \frac{3}{5} \times \frac{r}{1} = \frac{3r}{5}$

or $s = \frac{3r}{5}$

Q 9 - Write an equation to represent the proportional relationship given in the table.

i 10 20 30 40 50
j 8 16 24 32 40

Answer : B

Explanation

Step 1:

From given table of values

$\frac{j}{i} = \frac{8}{10} = \frac{16}{20} = \frac{24}{30}… = \frac{4}{5}$

Step 2:

So, the equation representing this proportional relationship is $j = \frac{4}{5} \times \frac{i}{1} = \frac{4i}{5}$

or $j = \frac{4i}{5}$

Q 10 - Write an equation to represent the proportional relationship given in the table.

u 2 16 24 32 40
v 7 56 84 112 140

Answer : A

Explanation

Step 1:

From given table of values

$\frac{v}{u} = \frac{7}{2} = \frac{56}{16} = \frac{84}{24}… = \frac{7}{2}$

Step 2:

So, the equation representing this proportional relationship is $v = \frac{7}{2} \times \frac{u}{1} = \frac{7u}{2}$

or $v = \frac{7u}{2}$

writing_equation_represent_proportional_relationship.htm
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