Could someone please check my answers to this problem. Thanks!

The license fee for a car varies directly with the value of the car. The fee for a car that is valued at $19,500 is $292.50.

a)

To check if your answers are correct, we need to determine the constant of variation between the license fee and the value of the car. We can then use this constant to verify if your answers are accurate.

Let's review the problem:

The license fee for a car varies directly with the value of the car.
The fee for a car valued at $19,500 is $292.50.

Let's use the following formula to determine the constant of variation:
license fee = constant of variation × value of the car

We can substitute the given values:
$292.50 = constant of variation × $19,500

Now, we can solve for the constant of variation:
constant of variation = $292.50 / $19,500

Performing the calculation, we have:
constant of variation ≈ 0.015 or 1.5%

Now that we have the constant of variation, we can check your answers.

a) You did not provide any answer for this part. Please provide your answer, and I'll check if it matches the calculated value.