When scaling a recipe from four servings to ten servings, you need to determine the new measurement for the original 2 tablespoons (30 milliliters) of chopped fresh basil. Here is a step-by-step solution:
1. Determine the scaling factor:
The scaling factor is calculated by dividing the new number of servings by the original number of servings.
[tex]\[
\text{Scaling Factor} = \frac{\text{New Servings}}{\text{Original Servings}} = \frac{10}{4} = 2.5
\][/tex]
2. Calculate the new measurement in tablespoons:
The original measurement is 2 tablespoons. To find the new amount, multiply the original measurement by the scaling factor.
[tex]\[
\text{New Measure in Tablespoons} = \text{Original Measure in Tablespoons} \times \text{Scaling Factor} = 2 \times 2.5 = 5 \text{ Tbsp}
\][/tex]
3. Calculate the new measurement in milliliters:
The original measurement is 30 milliliters. Similarly, multiply the original measurement by the scaling factor.
[tex]\[
\text{New Measure in Milliliters} = \text{Original Measure in Milliliters} \times \text{Scaling Factor} = 30 \times 2.5 = 75 \text{ ml}
\][/tex]
Therefore, when scaling the recipe up from four servings to ten servings, the new measure for the original 2 tablespoons (30 milliliters) of chopped fresh basil will be 5 tablespoons (75 milliliters). The correct choice is:
[tex]\[
\boxed{5\ \text{Tbsp} \ (75 \ \text{ml})}
\][/tex]
