1. The problem states that Health Club A charges according to the equation $y = 59x + 50$, where $x$ is the number of months and $y$ is the total cost. 2. Health Club B charges a one-time sign-up fee of 45 and a monthly fee of 29, so its cost equation is $y = 29x + 45$. 3. To compare the monthly costs, we look at the monthly fees: Health Club A charges 59 per month, and Health Club B charges 29 per month. 4. Calculate the difference in monthly fees: $$59 - 29 = 30$$ 5. Since 59 is greater than 29, Health Club A costs 30 more each month than Health Club B. Final answer: Health Club A costs $30$ more each month than Health Club B.