Let's break down the problem step by step to determine Jessie's variable expenses and match it to the correct equation.
1. Understanding Fixed and Total Expenses:
- Fixed expenses: [tex]$1,838.03
- Total expenses: $[/tex]3,995.72
2. Definition of Variable Expenses:
- Variable expenses can be found by subtracting the fixed expenses from the total expenses.
- The formula to calculate variable expenses ([tex]\( v \)[/tex]) is:
[tex]\[
v = \text{total expenses} - \text{fixed expenses}
\][/tex]
3. Substitute the given values into the formula:
- Total expenses [tex]\(\$3,995.72\)[/tex]
- Fixed expenses [tex]\(\$1,838.03\)[/tex]
4. Calculate the Variable Expenses:
- Using the equation, we have:
[tex]\[
v = \$3,995.72 - \$1,838.03
\][/tex]
By performing the subtraction, we get:
[tex]\[
v = \$2,157.69
\][/tex]
So, the correct equation that represents Jessie's variable expenses is:
[tex]\[
v = \$3,995.72 - \$1,838.03
\][/tex]
Therefore, the correct answer is option A.
