To solve this problem, let's determine the amount of change that should be given back when a customer pays with a [tex]$20 bill for a $[/tex]3.84 can of coffee.
Step-by-Step Solution:
1. Identify the total payment and the cost of the item:
- The total payment made by the customer is [tex]$20.
- The cost of the coffee is $[/tex]3.84.
2. Subtract the cost of the coffee from the total payment to find the change:
[tex]$ \text{Change} = \text{Total Payment} - \text{Cost of Coffee} $[/tex]
[tex]$ \text{Change} = 20 - 3.84 $[/tex]
3. Perform the subtraction:
[tex]$ 20 - 3.84 = 16.16 $[/tex]
4. Compare the result with the given options:
The result, [tex]$16.16, matches option B.
Therefore, the amount of change you should give back to the customer is:
$[/tex][tex]$
\boxed{16.16}
$[/tex]$