Question 8 of 10

How would one convert [tex]6 \, \text{lb}[/tex] to ounces ([tex]16 \, \text{oz} = 1 \, \text{lb}[/tex])?

A. [tex]6 \, \text{lb} \times 16 \, \text{oz}[/tex]

B. [tex]6 \, \text{lb} \times \frac{1 \, \text{lb}}{16 \, \text{oz}}[/tex]

C. [tex]6 \, \text{lb} \times \frac{16 \, \text{oz}}{1 \, \text{lb}}[/tex]

D. [tex]\frac{6 \, \text{lb}}{16 \, \text{oz}}[/tex]



Answer :

To convert 6 pounds (lb) to ounces (oz), we need to use the given conversion factor, which states that 1 pound is equivalent to 16 ounces. Here’s a step-by-step solution to the problem:

1. Understand the Conversion Factor:
The conversion factor given is [tex]\( 16 \text{ oz} = 1 \text{ lb} \)[/tex].

2. Set Up the Conversion:
We want to convert pounds to ounces. To do this, we should multiply the number of pounds by the number of ounces per pound.

3. Identify the Appropriate Formula:
Since we are converting from pounds to ounces, our setup will involve multiplying pounds by the conversion factor for ounces per pound. Thus, the correct formula is [tex]\( 6 \text{ lb} \times \frac{16 \text{ oz}}{1 \text{ lb}} \)[/tex].

4. Perform the Calculation:
[tex]\[ 6 \text{ lb} \times \frac{16 \text{ oz}}{1 \text{ lb}} = 6 \times 16 = 96 \text{ oz} \][/tex]

Therefore, 6 pounds is equivalent to 96 ounces.

Answer choice:
C. [tex]\( 6 \text{ lb} \times \frac{16 \text{ oz}}{1 \text{ lb}} \)[/tex]