Sure! Let's break this problem down step by step:
1. Understanding the Car's Initial Value: Eric paid \[tex]$7,000 for the car originally.
2. Depreciation Period: The car has been depreciating over a period of 3 years. Since depreciation is happening monthly, we need to convert the years into months.
There are 12 months in a year:
\[
3 \text{ years} \times 12 \text{ months/year} = 36 \text{ months}
\]
3. Monthly Depreciation Amount: Let \( x \) represent the monthly depreciation amount.
4. Total Depreciation: Over the entire period of 3 years, the total depreciation in the car's value will be:
\[
36 \text{ months} \times x \text{ (monthly depreciation)} = 36x
\]
5. Value of the Car Today: To find out how much Eric can sell the car for today, we subtract the total depreciation from the initial value of the car.
Initial Value of the car: \$[/tex]7,000
Total Depreciation: [tex]\( 36x \)[/tex]
Thus, the current value of the car (Value Today) is:
[tex]\[
7000 - 36x
\][/tex]
So the expression that shows how much Eric can sell his car for today is:
[tex]\[
\boxed{7000 - 36x}
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{c}
\][/tex]
