College Algebra

posted by .

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:
Option 1: C=_________________
Option 2: C=_________________
b) How many hours would you have to rent the court so that the monthly cost of option 1, is less than option 2. Set up an inequality and show your work algebraically using the information in part a.
Answer:
Show your work here:

so for part 1 would be C = 35 + 4

  • College Algebra -

    The amount he pays is a function of the number of hours he plays, you make no mention of that in your equation

    for option 1, C1 = 35 + 4x

    since he pays no monthly fee for option 2, wouldn't that equation be
    C2 = 6.5x ???

    b) just translate the English into math
    "..monthly cost of option 1, is less than option 2."

    35 + 4x < 6.5x

    -2.5x < -35
    x > 14

    notice that for 14 hours the two costs would be the same , but for more than 14 hours option 1 would be cheaper

  • College Algebra -

    I came up with 14 < x

  • College Algebra -

    Ummmh?

    Suppose I said 10 < 20
    Could I say 20 > 10 ????

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    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 …
  2. Math

    $32 monthly fee plus $3/hour for rental write a model representing the total monthly cost, C, in terms of X
  3. math

    Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all of your work and write answers in rational form. 3 x + 7 = 9 Answer: x = 2/3 Show your work here: 3 x + 7 = 9 -7 - 7 3/3 …
  4. algebra2 (math)

    The Cost of installing new kitchen cabinets is $150 for delivery for all the cabinets and an additional $45 to install each cabinet. a) Develop a model to give the total cost for a set of n cabinets. b) What is the total cost for a …
  5. MATH ALGEBRA (2ND TIME POSTING! ) Please Help!! :)

    The Cost of installing new kitchen cabinets is $150 for delivery for all the cabinets and an additional $45 to install each cabinet. a) Develop a model to give the total cost for a set of n cabinets. b) What is the total cost for a …
  6. Math, I NEED HELP.c:

    A rental company charges a flat fee of x dollars for a floor sander rental plus y dollars per hour of the rental. One customer rents a floor sander for 4 hours and pays $63. Another customer rents a floor sander for 6 hours and pays …
  7. algebra

    Simone rented a truck to move to a new apartment last month. The rental company charges a rental fee of $25.00 plus $0.50 per mile. Which of the following best represents the y-intercept in this situation?
  8. math

    Tide's boat rental charges a rental fee of $200 plus $30 per hour. Surfs rental charges a rental fee of $240 plus $25 per hour. For what number of hours is the boat rental cost the same at each rental business
  9. math

    A internet movie rental company has two different options for renting movies. Option A: pay a one-time $40 membership fee and then pay $1 for each movie rental. Option B: Do not become a member and pay $6 for each movie rental. 1. …
  10. Math

    Customers have two options when renting video games from a rental store. Plan A requires a $5 monthly fee and a $1 per video rental. Plan B requires $8 monthly fee and $0.75 per video rental. How many video rentals would be required …

More Similar Questions