Final answer:
A fruit cup costs more than a carton of juice since nine cartons of juice equate to the cost of five fruit cups making each carton of juice less expensive than each fruit cup.
Step-by-step explanation:
To determine the cost relationship between a carton of juice and a fruit cup, we need to examine the given information that Nine cartons of juice cost the same as five fruit cups. This implies that 9 cartons of juice = 5 fruit cups in terms of cost. If we want to compare the cost of one carton of juice to one fruit cup, we can set up a ratio like this:
9 cartons of juice/5 fruit cups = 1 carton of juice/x fruit cups,
where x is the equivalent number of fruit cups to one carton of juice. Solving for x gives us x = 5/9. since 5/9 is less than 1, this means one carton of juice is equal in cost to less than one fruit cup. In other words, a carton of juice is cheaper than a fruit cup, which provides us with the correct answer: