Question

Choose the line plot that represents the same data as the given line plot:

• A. Only Plot A
• B. Only Plot B
• C. Only Plot C
• D. Both Plot A and Plot C

Answer 1

The correct option is C Only Plot C

$\frac{1}{8}=\frac{1\times 2}{8\times 2}=\frac{2}{16}$

$⟹\frac{2}{16}\text{is an equivalent fraction of}\frac{1}{8}$

$\frac{1}{4}=\frac{1\times 2}{4\times 2}=\frac{2}{8}$

$⟹\frac{2}{8}\text{is an equivalent fraction of}\frac{1}{4}$

$\frac{1}{2}=\frac{1\times 4}{2\times 4}=\frac{4}{8}$

$⟹\frac{4}{8}\text{is an equivalent fraction of}\frac{1}{2}$

Now, redrawing the line plot using the equivalent fractions, we get:

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Hence, only plot C represents the same data as the line plot given in the question.