Final answer:
To find the scaling factor for resizing a recipe, divide the desired yield (45) by the original yield (9), which gives a scaling factor of 5.
Step-by-step explanation:
To determine the scaling factor needed to adjust a recipe from an original yield of 9 to a desired yield of 45, we perform the following steps:
- Identify the original yield and the desired yield. Here, the original yield is 9 and the desired yield is 45.
- Calculate the scaling factor by dividing the desired yield by the original yield: scaling factor = desired yield / original yield.
- Substitute the given values into the formula: scaling factor = 45 / 9.
- Simplify the result to find the scaling factor: scaling factor = 5.
Thus, the scaling factor needed is 5. This means you multiply each ingredient in the original recipe by 5 to achieve the desired yield of 45.