A tennis club offers two payment options:
Option1: $35 monthly fee plus $4/hour for court rental
Option 2: No monthly fee but $6.50/hour for court rental.
Let x = hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
What exactly is your question? You've provided some information but haven't asked a question.
you make it a equation with (f)x its really not hard
Do you want to know which plan is best? That depends upon how many hours you plan to play per month. If X = # of hours played per month, then set
35 + 4 X = 6.50 X
2.50 X = 35
X = 14
Option 1 is the best plan for those playing 14 hours or more per month.
To write a mathematical model representing the total monthly cost, C, in terms of x for the given payment options, we need to consider the costs of court rental for each option.
For Option 1:
Monthly fee = $35
Cost per hour for court rental = $4
Since the monthly fee is a fixed cost, it remains the same regardless of the number of hours rented. However, the cost per hour for court rental is multiplied by the number of hours rented.
So, for Option 1, the total monthly cost, C1, can be represented as:
C1 = 35 + 4x
For Option 2:
No monthly fee (0)
Cost per hour for court rental = $6.50
Since there is no monthly fee, the total monthly cost, C2, is solely dependent on the number of hours rented and can be represented as:
C2 = 6.50x
Therefore, to summarize:
a) Mathematical model representing the total monthly cost, C, in terms of x for the following options:
Option 1: C1 = 35 + 4x
Option 2: C2 = 6.50x