Answer:
<h2>B) It will take 6 months.</h2>
Step-by-step explanation:
This problem can be solved using the equation or the graph.
The given equation is

We solve for 

This means after 6 months both gyms will cost the same.
Now, if you wanna solve this using the graph, you just need to look for the interception points of the two lines, where each of them represents each gym. Notice that they intercept at (6,270), that is, after 6 months they cost $270 each of them.
Therefore, the right answer is B).