Answer: it would take approximately 78 hours for the taste tester to try all 468 different cheeseburgers.
Step-by-step explanation:
Assuming that the taste tester only eats one cheeseburger at a time, the number of possible combinations of ingredients is:
13 (buns) x 4 (cheeses) x 3 (lettuce types) x 3 (tomato types) = 468
Therefore, there are 468 different cheeseburgers that could be created for the taste test.
If the taste tester takes 10 minutes to eat each cheeseburger, then the total time for the taste test would be:
468 (number of cheeseburgers) x 10 minutes (time to eat each cheeseburger) = 4,680 minutes
This is equivalent to:
4,680 minutes ÷ 60 minutes/hour ≈ 78 hours
Therefore, it would take approximately 78 hours for the taste tester to try all 468 different cheeseburgers. It may be necessary to spread the taste test out over multiple days or have multiple taste testers in order to complete the test in a reasonable amount of time.