To find the total amount of the bill, we need to set up an equation that reflects the situation provided.
Kathryn and three of her friends make a total of 4 people. Each person paid \[tex]$13.
Let's denote the total amount of the bill by \( x \).
Since the total bill \( x \) is equally split among 4 people, the amount each person paid can be represented as \(\frac{x}{4}\).
According to the problem, each person's share is \$[/tex]13, so we set up the following equation:
[tex]\[
\frac{x}{4} = 13
\][/tex]
This equation accurately represents the total bill being divided evenly among 4 people, with each person paying \$13.
Therefore, the correct answer is:
D [tex]\(\frac{x}{4} = 13\)[/tex]
