Question

victor is measuring his bodily dimensions. his neck is 14.72 inches in circumference, and his forearm is 25.81 centimeters long. there are 2.54 centimeters in 1 inch. which of victors measurements is longer, and by what percent?
a. victors forearm is 75.34% longer than the circumference of his neck.
b. victors forearm is 43.66% longer than the circumference of his neck.
c. the circumference of victors neck is 57.03% longer than his forearm.
d. the circumference of victors neck is 44.86% longer than his forearm.

please select the best answer from the choices provided

a
b
c
d

Explanation:

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<reasoning>

Convert neck circumference to centimeters

Using the Percentage Increase knowledge point
\[

$$\begin{aligned} &\text{Neck} = 14.72\text{ inches}\\ &\text{Neck in cm} = 14.72 \times 2.54 = 37.3888\text{ cm} \end{aligned}$$

\]

Compare the two measurements

Using the Percentage Increase knowledge point
\[

$$\begin{aligned} &\text{Neck} = 37.3888\text{ cm}\\ &\text{Forearm} = 25.81\text{ cm}\\ &\text{Neck} > \text{Forearm} \end{aligned}$$

\]

Calculate the percentage difference

Using the Percentage Increase knowledge point
\[

$$\begin{aligned} &\text{Percent longer} = \frac{37.3888 - 25.81}{25.81} \times 100\%\\ &\text{Percent longer} = \frac{11.5788}{25.81} \times 100\% \approx 44.86\% \end{aligned}$$

\]

Identify the correct option

Using the Percentage Increase knowledge point
\[
\text{The circumference of Victor's neck is } 44.86\% \text{ longer than his forearm.}
\]
</reasoning>

<answer>
<mcq-option>a. Victor's forearm is 75.34% longer than the circumference of his neck.</mcq-option>
<mcq-option>b. Victor's forearm is 43.66% longer than the circumference of his neck.</mcq-option>
<mcq-option>c. The circumference of Victor's neck is 57.03% longer than his forearm.</mcq-option>
<mcq-correct>d. The circumference of Victor's neck is 44.86% longer than his forearm.</mcq-correct>
</answer>

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Answer:

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<reasoning>

Convert neck circumference to centimeters

Using the Percentage Increase knowledge point
\[

$$\begin{aligned} &\text{Neck} = 14.72\text{ inches}\\ &\text{Neck in cm} = 14.72 \times 2.54 = 37.3888\text{ cm} \end{aligned}$$

\]

Compare the two measurements

Using the Percentage Increase knowledge point
\[

$$\begin{aligned} &\text{Neck} = 37.3888\text{ cm}\\ &\text{Forearm} = 25.81\text{ cm}\\ &\text{Neck} > \text{Forearm} \end{aligned}$$

\]

Calculate the percentage difference

Using the Percentage Increase knowledge point
\[

$$\begin{aligned} &\text{Percent longer} = \frac{37.3888 - 25.81}{25.81} \times 100\%\\ &\text{Percent longer} = \frac{11.5788}{25.81} \times 100\% \approx 44.86\% \end{aligned}$$

\]

Identify the correct option

Using the Percentage Increase knowledge point
\[
\text{The circumference of Victor's neck is } 44.86\% \text{ longer than his forearm.}
\]
</reasoning>

<answer>
<mcq-option>a. Victor's forearm is 75.34% longer than the circumference of his neck.</mcq-option>
<mcq-option>b. Victor's forearm is 43.66% longer than the circumference of his neck.</mcq-option>
<mcq-option>c. The circumference of Victor's neck is 57.03% longer than his forearm.</mcq-option>
<mcq-correct>d. The circumference of Victor's neck is 44.86% longer than his forearm.</mcq-correct>
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