Final answer:
To calculate the amount of water needed for Tyler's lemonade recipe using 16 cups of lemonade mix, use the equation Y = 4X and substitute X with 16, which results in Y = 64. Hence, Tyler needs 64 cups of water.
Step-by-step explanation:
The student's question is asking how to calculate the amount of water needed for a lemonade recipe if a given amount of lemonade mix is used, based on the provided equation Y = 4X.
In the equation, X represents the amount of lemonade mix in cups, and Y represents the amount of water in cups needed for the recipe. We are told that Tyler has 16 cups of lemonade mix.
To find out how many cups of water Tyler needs, we simply substitute the value of X in the equation Y = 4X:
Y = 4(16)
Y = 64
Therefore, Tyler needs 64 cups of water for his lemonade recipe using 16 cups of lemonade mix.