Final answer:
To find the cost of the upgraded stereo system, we must calculate the total cost before tax, subtract the MSRSP, and solve for the upgrades' cost. However, the calculation of $8,812.60 does not match any of the given options in the question, suggesting there may be an issue with the question or the options provided.
Step-by-step explanation:
The question involves a mathematical calculation to determine the cost of the upgraded stereo system in a car purchase scenario. Adam Levine's new sports car has an MSRP of $78,600.00, which, after including an 8% sales tax, led to a total cost of $96,785.00 for the vehicle. To find the cost of the upgraded stereo system, we need to calculate the sales tax added, subtract the MSRP from the total cost, and then solve for the cost of the upgrades.
First, let's find the total cost before tax:
$96,785 / 1.08 = $89,615.74
Now, we'll subtract the MSRP to get the cost of the upgrades:
$89,615.74 - $78,600.00 = $11,015.74
This amount represents the combined cost of the leather interior and the upgraded stereo system. Let's denote the cost of the leather interior as 'L'. Then, the cost of the stereo system is '4L' because it costs 4 times more than the leather. So, we have:
L + 4L = $11,015.74
L = $11,015.74
L = $11,015.74 / 5
L = $2,203.15
Thus, the cost of the upgraded stereo system is four times that:
4 * $2,203.15 = $8,812.60
However, since this number does not match any of the options provided in the question, therefore, we cannot confidently select from options a, b, c, or d based on our calculation.