The equation above models the number of members, m , of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?

The correct answer is:

Step 1 of 2:
The given equation is, M = 1800 (1.02)^t, where M is the number of members of a gym t years after the gym opens.
We need to find for q quarters years, the number of gym members. Hence, in this case, t/4years = q quarters. This implies that t = 4q.
Step 2 of 2:
Now, substituting t = 4q in the given equation, we get
                                                              M = 1800 (1.02)^4q.
Final Answer:
The correct equation is— B) M = 1800 (1.02)^4q.