SOLUTION: how do i solve this? A tennis club offers two payment options: option 1 $35 monthly fee plus $4/hour for court rental. option2: No monthly fee but $6.50/hour for court rental.

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: how do i solve this? A tennis club offers two payment options: option 1 $35 monthly fee plus $4/hour for court rental. option2: No monthly fee but $6.50/hour for court rental.       Log On

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Question 110331: how do i solve this?
A tennis club offers two payment options:
option 1 $35 monthly fee plus $4/hour for court rental.
option2: No monthly fee but $6.50/hour for court rental.
letx = hours per month of court rental time.
a) write the mathmatical model representing the total monthly cost, C, in terms of x for the following:
option1: C=
OPTION2: C=
B) HOW MANY HOURS WOULD YOU HAVE TO RENT THE COURT SO THE MONTHLY COST OF OPTION1, IS LESS THAN OPTION2. SET UP AN SHOW YOUR WORK ALGEBRAICALLY USING THE INFORMATION IN PART A

Answer by stanbon(48546) About Me  (Show Source):
You can put this solution on YOUR website!
option 1 $35 monthly fee plus $4/hour for court rental.
C1(x) = 35 +4x
option2: No monthly fee but $6.50/hour for court rental.
C2(x) = 6.5x
letx = hours per month of court rental time.
-------------------------
B) HOW MANY HOURS WOULD YOU HAVE TO RENT THE COURT SO THE MONTHLY COST OF OPTION1, IS LESS THAN OPTION2. SET UP AN SHOW YOUR WORK ALGEBRAICALLY
INEQUALITY:
C1 < C2
35+4x < 6.5x
35 < 2.5x
x > 14 hrs.
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Cheers,
Stan H.