Final answer:
The correct equation representing the total cost P for batting lessons at the Sleighers Winter Baseball Academy is A. 35h + 15 = P, where h is the number of hours and P is the total payment.
Step-by-step explanation:
The student is asking for an equation that represents the total cost P for batting lessons at the Sleighers Winter Baseball Academy, which charges a one-time registration fee plus an hourly rate. The correct equation includes both a constant term for the registration fee and a variable term for the hourly charges. Thus, the equation that represents the situation where the academy charges thirty-five dollars per hour for batting lessons and a one-time registration fee of fifteen dollars is A. 35h + 15 = P. Here, h represents the number of hours of batting lessons, and P represents the total payment.