The municipal swimming pool in Charlotte North Carolina has a three different ways of paying for individual open swimming. Nick is trying to decide which way to pay period early pay: $45 before memorial day, swim any number of days. Deposit plus : eight dollars deposit +3 dollars per day. Daily pay: four dollars a day. Fill in the table with the cost to swim to given number of days each amount should be the total cost swim that number of days, including the deposit if applicable

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.

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