Question

the cost of renting a bowling alley for an event is a $200 flat fee and $25 per person that attends. Let C(x) represent the cost per person when x people attend the event. The equation for C(x) is given by C(x) = (200+25x)/x. Find the horizontal asymptote of this function and interpret this value in the context of this problem.

Answer 1

The horizontal asymptote of C(x) = (200+25x)/x is $25, indicating that as the number of people attending becomes very large, the cost per person stabilizes around $25.

Step-by-step explanation:

The cost of renting a bowling alley, which includes a $200 flat fee and $25 per person, can be expressed by the equation C(x) = (200+25x)/x, where C(x) represents the cost per person for x people attending.

To find the horizontal asymptote of this function, consider the behavior of the function as x approaches infinity.

The variable x cancels out on the top and bottom, leaving us with 25 as the horizontal asymptote. This means that as more and more people attend the event, the cost per person approaches $25.