Final Answer:
The linear equation representing the total monthly fee F for court time accumulation of t hours is F = $56 + $19t.
Step-by-step explanation:
The monthly fee for a tennis club member consists of two components: a fixed fee of $56 and an additional charge of $19 for each half-hour of court time. The fixed fee remains constant regardless of the amount of court time used. However, the variable component, $19 multiplied by the number of half-hour blocks (t), represents the additional cost incurred based on the hours of court time accumulated.
The equation F = $56 + $19t embodies this relationship. Here, F represents the total monthly fee, $56 accounts for the fixed monthly charge, and $19t denotes the additional charge incurred for the accumulated court time. This linear equation captures the linear relationship between the total fee and the hours of court time utilized by the club member during the month.
By understanding this equation, club members can predict their total monthly expense based on the hours they spend on court activities. It offers a clear understanding of the cost structure, aiding members in making informed decisions about their usage and associated fees.