2. Which of the following is a conversion factor? $$ \begin{array}{ll} ext { A. } \frac{60 \mathrm{~min}}{1 \mathrm{sec}} & ext { B. } \frac{1 ext { week }}{7 ext { days }} \ ext { C. } \frac{1,000 \mathrm{~cm}}{1 \mathrm{~km}} & ext { D. } \frac{3 \mathrm{~km}}{1 \mathrm{hr}}\end{array} $$

Question

2. Which of the following is a conversion factor? $$ \begin{array}{ll}	ext { A. } \frac{60 \mathrm{~min}}{1 \mathrm{sec}} & 	ext { B. } \frac{1 	ext { week }}{7 	ext { days }} \ 	ext { C. } \frac{1,000 \mathrm{~cm}}{1 \mathrm{~km}} & 	ext { D. } \frac{3 \mathrm{~km}}{1 \mathrm{hr}}\end{array} $$

UpStudy AI · Accepted Answer

1. A conversion factor is a ratio that expresses the equality of two different units and is equal to 1. This is because the numerator and denominator represent the same quantity expressed in different units.

2. For option A, $$ \frac{60 \text{ min}}{1 \text{ sec}} $$ is not equal to 1. Since 60 minutes is not equal to 1 second, this ratio is not a conversion factor.

3. For option B, $$ \frac{1 \text{ week}}{7 \text{ days}} $$, we know that 1 week is exactly 7 days. Therefore, the ratio is:
   $$
   \frac{1 \text{ week}}{7 \text{ days}} = 1
   $$
   This makes it a proper conversion factor.

4. For option C, $$ \frac{1,000 \text{ cm}}{1 \text{ km}} $$, recall that $$ 1 \text{ km} = 100,000 \text{ cm} $$. Hence, the ratio is not equal to 1.

5. For option D, $$ \frac{3 \text{ km}}{1 \text{ hr}} $$ represents a speed (3 kilometers per hour) and is not equal to 1.

Thus, the conversion factor among the options is:

$$ \text{B. } \frac{1 \text{ week}}{7 \text{ days}} $$
The conversion factor is B. $$ \frac{1 \text{ week}}{7 \text{ days}} $$.

Which of the following is a conversion
factor?

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