Final answer:
To write an equation for the number of memberships sold at the Work-Out Gym, start with the initial number of memberships sold in 2001 and use the formula: Number of memberships sold = Initial number of memberships + (Annual increase rate * Initial number of memberships).
Step-by-step explanation:
To write an equation for the number of memberships sold at the Work-Out Gym, we start with the initial number of memberships sold in 2001, which is 550. We know that the number of memberships sold has increased 3% annually. To account for this increase, we can use the formula:
Number of memberships sold = Initial number of memberships + (Annual increase rate * Initial number of memberships)
Substituting the given values:
Number of memberships sold = 550 + (0.03 * 550) = 550 + 16.5 = 566.5