Final answer:
The expression that shows how the total amount of juice in 6 batches relates to the amount of pineapple juice in each batch is 15x.
Step-by-step explanation:
To find the expression that shows how the total amount of juice in 6 batches relates to the amount of pineapple juice in each batch, we first need to determine the amount of orange juice needed for each batch. The amount of orange juice is 2.5 times the amount of pineapple juice, x. So, the amount of orange juice in each batch is 2.5x.
To find the total amount of juice in 6 batches, we multiply the amount of juice in each batch by the number of batches. Therefore, the expression is 6 * (2.5x) = 15x.