Solving a system of equations, the two clubs will have equal membership at month 8.
A system of equations involves two or more equations solved simultaneously or concurrently.
Club 1 Club 2
Current membership 400 200
Monthly rate of increase 25 50
Let the number of months = x
Let the total number of memberships = y
Equations:
Club 1: y = 400 + 25x
Club 2: y = 200 + 50x
For the two clubs to have equal membership, the month will be computed by equating the two equations:
400 + 25x = 200 +50x
200 = 25x
8 = x
Thus, at month 8, the memberships at the two clubs will equate.
Question Completion:
When will the two clubs have the same membership?