Final answer:
The equation that relates the cost y in dollars to the number of apple juice cartons x is y = 0.56x, where 0.56 represents the cost of one carton of apple juice.
Step-by-step explanation:
To write an equation that relates the cost y in dollars to the number of apple juice cartons x, we first need to determine the cost per carton. Given that a 4-pack of apple juice costs $2.24, we can calculate the cost of a single carton by dividing.
The cost per carton is $2.24 ÷ 4 = $0.56 per carton.
Now, we can express this relationship as an equation where y (the total cost) equals 0.56 (the cost per carton) times x (the number of cartons):
y = 0.56x