Final answer:
Kandace's car is valued at $22,800 when applying the proportion between the car's value and the monthly insurance premium, with none of the provided answer choices being correct.Thus, none of the provided options a, b, c, or d are correct.
Step-by-step explanation:
To find the value of Kandace's car, we need to establish the proportion between the car's value and the insurance premium. The problem states that for a $12,000 car, the monthly premium is $55.
First, let's find the proportion:
Premium / Car value = $55 / $12,000
Now apply this proportion to find the value of Kandace's car with a $105 monthly premium:
Premium / Car value = $105 / x
To find x, cross-multiply and solve for x:
55x = $12,000 * $105
x = ($12,000 * $105) / 55
x = $22,800
To the nearest dollar, Kandace's car is valued at $22,800. Thus, none of the provided options a, b, c, or d are correct.