Sure, let’s break down the problem step-by-step.
1. Understand the problem:
We need to scale down a recipe intended for sixteen servings to just four servings. The original recipe calls for one diced medium carrot for sixteen servings. We need to find out how many diced medium carrots will be required for four servings.
2. Determine the scaling factor:
Scaling down from sixteen to four servings means we are making only a quarter (4 out of 16) of the original recipe.
- The scaling factor is calculated as:
[tex]\[
\text{scaling factor} = \frac{\text{new servings}}{\text{original servings}} = \frac{4}{16} = 0.25
\][/tex]
3. Apply the scaling factor to the original measure of carrots:
- The original recipe calls for 1 diced medium carrot.
- Using the scaling factor (0.25) to adjust the quantity:
[tex]\[
\text{new measure of carrots} = 1 \text{ diced medium carrot} \times 0.25 = 0.25 \text{ diced medium carrots}
\][/tex]
4. Conclusion:
So, when you scale the recipe down from sixteen servings to four servings, the new measure for the original one diced medium carrot will be:
[tex]\[
\boxed{0.25 \text{ diced medium carrots}}
\][/tex]
Therefore, the correct answer is:
- 1/4 carrot
