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.

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!

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wifilethbridge wifilethbridge · Answer 2 · 2019-03-11T10:38:24+01:00

Answer:

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

Step-by-step explanation:

Function: [tex]y=\frac{16500}{x} + 1020[/tex]

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.