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

Question

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

UpStudy AI · Accepted Answer

We are looking for a conversion factor, which is a fraction that equals one. To see this, we check if the numerator and denominator are equivalent quantities (possibly expressed in different units), so that their ratio is $$1$$.

1. **Option A:**  
   $$\frac{60 \text{ min}}{1 \text{ sec}}$$  
   Although there is a relationship between minutes and seconds, $$1 \text{ min} = 60 \text{ sec}$$. However, the given fraction would equal  
   $$
   \frac{60 \text{ min}}{1 \text{ sec}} \neq 1,
   $$
   so it is not a conversion factor.

2. **Option B:**  
   $$\frac{1 \text{ week}}{7 \text{ days}}$$  
   Since $$1 \text{ week} = 7 \text{ days}$$, the fraction becomes  
   $$
   \frac{7 \text{ days}}{7 \text{ days}} = 1.
   $$
   This is a true conversion factor.

3. **Option C:**  
   $$\frac{1,000 \text{ cm}}{1/\text{m}}$$  
   The expression in the denominator appears ambiguous. Typically, if converting meters to centimeters, we expect  
   $$
   \frac{100 \text{ cm}}{1 \text{ m}}=1,
   $$
   but here the numerator and the denominator do not match the proper conversion.

4. **Option D:**  
   $$\frac{3 \text{ km}}{1 \text{ hr}}$$  
   This fraction expresses a rate (distance over time), not a conversion factor equal to $$1$$.

Thus, the only option that is a conversion factor is option B.
Option B, $$\frac{1 \text{ week}}{7 \text{ days}}$$, is a conversion factor.

Which of the following is a conversion
factor?

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