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4.10.4 Test (CST): Checking and Savings

Question 2 of 25

If a bank charges \[tex]$0.50 for each ATM transaction linked to a checking account, which of these equations can be used to solve for the number of monthly ATM transactions \( x \) that is equivalent to a \$[/tex]14.50 monthly service fee?

A. \[tex]$14.50 + \( x \) = \$[/tex]0.50
B. \[tex]$0.50 + \( x \) = \$[/tex]14.50
C. \[tex]$14.50 \( x \) = \$[/tex]0.50
D. \[tex]$0.50 \( x \) = \$[/tex]14.50

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Answer :

GinnyAnswer
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]