Answer:
8,640 minutes
Step-by-step explanation:
<em>Re-read the question:</em> "How long would it take the test to eat all possible cheeseburgers?"
<em>What are they asking for?</em>
Answer: Total time test all possible burgers
<em>We can break down the answer into a multiplication:</em>
Total time to test all possible burgers =
<u>Time to test each burger</u> x <u>Number of possible burgers</u>
A) Time to test each burger is given - 10 minutes.
B) Number of possible burgers is essentially the total number of combinations of toppings you can have. The order of toppings doesn't matter, so this problem is called a "Combination Problem," as opposed to a "Permutation Problem" which is a problem when order matters.
<em>How do we solve Combination problems? </em>
<em>Just multiply the quantity of each option.</em>
Number of combinations of burger toppings = # bun types x # cheese types x # lettuce types x # tomato types
Number of combinations of burger toppings = 9 x 8 x 4 x 3 = 864
<em>Now plug this into the original equation</em>
Total time to test all possible burgers
= time to test each burger x number of possible burgers
= 10 minutes x 864 possible options
= 8,640 minutes
