To evaluate the given statement [tex]\( 8 \, \text{oz} = 16 \, \text{tsp} \)[/tex], let's walk through the problem step-by-step:
1. Understanding the conversion factor:
- We need to know the conversion factor between ounces and teaspoons.
- The conversion factor is: [tex]\( 1 \, \text{ounce} = 6 \, \text{teaspoons} \)[/tex].
2. Converting ounces to teaspoons:
- You are given [tex]\( 8 \, \text{ounces} \)[/tex].
- To convert ounces to teaspoons, use the conversion factor:
[tex]\[
8 \, \text{oz} \times 6 \, \frac{\text{tsp}}{\text{oz}} = 48 \, \text{tsp}
\][/tex]
3. Comparing the converted value with the target value:
- The converted value from [tex]\( 8 \, \text{oz} \)[/tex] results in [tex]\( 48 \, \text{tsp} \)[/tex].
- We need to compare this result to the given target value of [tex]\( 16 \, \text{tsp} \)[/tex].
4. Conclusion:
- Since [tex]\( 48 \, \text{tsp} \)[/tex] is not equal to [tex]\( 16 \, \text{tsp} \)[/tex], the statement [tex]\( 8 \, \text{oz} = 16 \, \text{tsp} \)[/tex] is False.
Thus, the conclusion is that the given statement [tex]\( 8 \, \text{oz} = 16 \, \text{tsp} \)[/tex] is not accurate. The correct conversion shows that [tex]\( 8 \, \text{oz} \)[/tex] equals [tex]\( 48 \, \text{tsp} \)[/tex], not [tex]\( 16 \, \text{tsp} \)[/tex]. Therefore, the statement is False.
