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Select the correct answer.

Jessie is reviewing her monthly budget. She calculates her fixed and total expenses for the previous month.
- Fixed expenses: [tex]\[tex]$1,838.03[/tex]
- Total expenses: [tex]\$[/tex]3,995.72[/tex]

Which equation represents Jessie's variable expenses for the previous month?

A. [tex]v = \[tex]$3,995.72 - \$[/tex]1,838.03[/tex]
B. [tex]v = \[tex]$3,995.72 + \$[/tex]1,838.03[/tex]
C. [tex]v = \[tex]$3,995.72 - \$[/tex]2,157.69[/tex]
D. [tex]v = \[tex]$3,995.72 + \$[/tex]2,157.69[/tex]



Answer :

GinnyAnswer
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.

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