Question

The total cost of a vacation to a rain forest includes a fee of $560 for the tour guide, plus $630 per person. The function y=560+630x/ x
models the average cost per person, in dollars, when x people go on the vacation.

What is the horizontal asymptote of the function?


y= ????

Answer 1

Answer: y= 630 is the horizontal asymptote for the given function.

Step-by-step explanation:

Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to $+\infty$ or $-\infty$.

Thus, If there is a function f(x),

Then Its horizontal asymptote,  y = $\lim_{x\rightarrow \infty} f(x)$

Here the given function is, $f(x) = \frac{560+630x}{x}$

Thus its horizontal asysmptote is, y = $\lim_{x\rightarrow \infty} \frac{560+630x}{x}$

⇒ y = $\lim_{x\rightarrow \infty}560/x+630$

⇒ y = 0+ 630

⇒ y= 630 is the horizontal asymptote of the given function f(x).

Answer 2

Hello,

We have the function y=560+630/x 

We have x as 0 making y=630