Question

The municipal swimming pool in Chandler, Arizona has three different ways of paying for individual open swimming. Sam, Jane, and Suzy are trying to decide which way to pay.
• Early Pay: Pay $45.00 before Memorial Day; swim any number of days
• Deposit Plus: $12.00 deposit plus $4.00 per day
• Daily Pay: $6.00 per day



1. Write an equation for each method of payment. Write your equations in slope-intercept form so that x is the number of days and y is the cost.

a. Early Pay:
b. Deposit Plus:
c. Daily Pay:


2. If Sam goes swimming 4 times, what would he need to pay with each payment plan? Which is the best payment method for him?


3. If Sam goes swimming 8 times, what would he need to pay with each payment plan? Which is the best payment method for him?


4. If Sam goes swimming 12 times, what would he need to pay with each payment plan? Which is the best payment method for him?


5. Jane and Suzy decide to look at the different options available for individual open swimming. Jane enjoys swimming and would like to go to the pool on most days, but Suzy doesn’t know how many times she will go swimming this summer as she doesn’t really enjoy the summer heat and the pool atmosphere. Please explain in paragraph form which option would be best for Jane and which option would be best for Suzy. Explain your answer.


Any help would be greatly appreciated, I've been doing work all day and my mind is blank when I look at these questions. Thank you in advance.

Answer 1

1. a Early Pay: y = 45

 b. Deposit Plus: y = 12.00 + 4.00x

 c. Daily Pay: y = 6.00x

2.  Early pay = $25

   Deposit Plus = 12.00 + 4.00(4) =  12.00 + 16.00 = $28.00

 Daily Pay = 6.00(4) = $24.00

Daily Pay is the cheapest one.

3. Early Pay = $45

 Deposit Plus = 12.00 + 4.00(8) = 12.00 + 32.00 = $44.00

 Daily Pay = 6.00(8) = $48.00

Deposit Plus is the cheapest one.

4. Early Pay = $45

Deposit Plus = 12.00 + 4.00(12) = 12.00 + 48.00 = $60.00

Daily Pay = 6.00(12) = $72.00

Early Pay is the cheapest one.

5.  Since Jane likes to swim most days, it would be cheaper for her to do the Early pay option, because the price is a one time fee and she can swim every day.

Since Suzy doesn't really like to go swimming and might only go a couple times, it would be best for her to do the daily pay, that way she didn't spend any money up front if she doesn't swim at all.