Final answer:
The word problem involves a pastry chef scaling up a recipe that requires 3 eggs by a factor of 8, which is represented by the equation 3/4 × 8 = x to determine the total number of eggs needed.
Step-by-step explanation:
Imagine that a pastry chef is making a batch of mini-tarts and the recipe requires 3 eggs, but she is making a larger batch that is 8 times bigger than the usual recipe. She needs to figure out how many eggs to use for the larger batch. We can represent this problem using the multiplication 3/4 × 8 = x.
Next, write the proportion that represents this situation: 3 eggs for the standard batch is to x eggs for the larger batch, as 1 standard batch is to 8 times larger batch. The unknown number of eggs (x) is what the pastry chef is trying to find. Therefore, we solve for x in the equation 3/4 × 8 = x to find out that she will need x eggs for the larger batch.