Question

The function y=16500/x + 1020x /x models my the average annual cost in dollars of owning a car for x years. Which statement best explains why the graph of y=16500/x + 1020x/x should have a vertical asymptote at x=0?

A. The value of the car describes over time.

B. The value of the car will never dip below $0.

C. The time the car is owned is greater than 0.

D. The initial cost of the car is greater than $0.

Answer 1

C. The time the car is owned is greater than 0.

Explanation:

Function:
`y=(16500)/(x) + 1020`

Where x denotes years

y denotes annual cost

We are given that the graph of the given equation should have vertical asymptote at x =0

Refer the attached graph .

Since with increase in the time the cost (y) decreases

So, the time must be greater than 0 So, that the change in the cost appears .

So, the graph of the given equation should have vertical asymptote at x =0 because The time the car is owned is greater than 0.

Hence Option C is correct : The time the car is owned is greater than 0.

Answer 2

For the answer to the question above, I believe the answer is c. The time the car is owned is greater than 0
I hope my answer helped. Have a nice day!