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Jessie is reviewing her monthly budget. She calculates her fixed and total expenses for the previous month.

Fixed expenses: [tex]\$1,838.03[/tex]
Total expenses: [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]


Sagot :

To determine Jessie's variable expenses for the previous month, we need to consider the relationship between her total expenses and her fixed expenses. Variable expenses are the difference between total expenses and fixed expenses. We can represent this relationship with the equation:

[tex]\[ \text{Variable Expenses} = \text{Total Expenses} - \text{Fixed Expenses} \][/tex]

Given the numerical values:
- Fixed expenses: \$1,838.03
- Total expenses: \$3,995.72

Now we substitute these values into our equation:

[tex]\[ v = 3,995.72 - 1,838.03 \][/tex]

Performing the subtraction gives us:

[tex]\[ v = 2,157.69 \][/tex]

So, the correct equation that represents Jessie's variable expenses for the previous month is:

A. [tex]\( \quad v = \$ 3,995.72 - \$ 1,838.03 \)[/tex]