To determine the correct equation, let's carefully analyze the situation:
1. We know that the bank charges $0.50 for each ATM transaction.
2. The monthly service fee totals $14.50.
3. We need to express this relationship in terms of the number of transactions, \( x \).
Given that each transaction costs [tex]$0.50, the total cost for \( x \) transactions can be represented as \( 0.50 \times x \). According to the information provided, this total cost comes out to be $[/tex]14.50. Therefore, the equation that represents this relationship is:
\( 0.50 \times x = 14.50 \)
So, substituting the values, we get the final equation to find \( x \):
\( 0.50 x = 14.50 \)
Thus, the correct option is:
D. [tex]\(\$ 0.50 x = \$ 14.50\)[/tex]