- Ratios and Unit Rates
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- Writing Ratios Using Different Notations
- Writing Ratios for Real-World Situations
- Identifying Statements that Describe a Ratio
- Simplifying a Ratio of Whole Numbers: Problem Type 1
- Simplifying a Ratio of Decimals
- Finding a Unit Price
- Using Tables to Compare Ratios
- Computing Unit Prices to Find the Better Buy
- Word Problem on Unit Rates Associated with Ratios of Whole Numbers: Decimal Answers
- Solving a Word Problem on Proportions Using a Unit Rate
- Solving a One-Step Word Problem Using the Formula d = rt
- Function Tables with One-Step Rules
- Finding Missing Values in a Table of Equivalent Ratios
- Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
- Writing an Equation to Represent a Proportional Relationship
Writing an Equation to Represent a Proportional Relationship Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Writing an Equation to Represent a Proportional Relationship. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
| 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 $y = 4x$
| 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 $n = \frac{3m}{2}$
| 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 $d = \frac{4c}{3}$
| 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 $l = \frac{7k}{3}$
| 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 $y = \frac{7z}{3}$
| 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
| 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
| 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 $s = \frac{3r}{5}$
| 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 $j = \frac{4i}{5}$
| 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 $v = \frac{7u}{2}$