The municipal swimming pool in Nicetown has three different ways of paying for individual open swimming. Evan is trying to decide which way to pay.
• Early Pay: Pay $45 before Memorial Day; swim any number of days
• Deposit Plus: $20 deposit plus $2.00 per day
• Daily Pay: $3.50 per day
1. Write an equation for each situation such that the cost, y, of swimming is a function of the number of days swimming, x. The ordered pairs will be in the form, (x, y), and you can write your equations in slope-intercept form.
a. Early Pay:
b. Deposit Plus:
c. Daily Pay:
2. Fill in the table with the costs of swimming the given number of days.
Table of swimming costs using the three different payment methods
Payment Method Number of days 0 days 10 days 12 days 14 days 20 days
Early Pay
Deposit Plus
Daily Pay
3. On your own (ungraded), graph each equation on the same set of axes so you can visually compare the payment methods. Let the horizontal axis be the number of days swimming, x, and the vertical axis the cost in dollars, y.
Answer the following questions:
4. If Evan goes swimming 10 times, which is the best payment method for him, and how much will he have to pay?
5. If Evan goes swimming 12 times, which is the best method for him, and how much will he have to pay?
6. If Evan goes swimming 14 times, which is the best method for him, and how much will he have to pay?
7. If Evan doesn’t know how many times he will go swimming, which method do you think he should choose and why?
its urgent people!!
Already answered.
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i needed a better answer
I suggest you repost your question, carefully explaining what you do not understand about this assignment. Someone will probably be able to help you then, but I doubt if anyone will do the whole assignment for you.
1a. Early Pay:
The cost, y, of swimming is a function of the number of days swimming, x.
Since the cost is a fixed amount of $45, regardless of the number of days swimming, the equation is y = $45.
1b. Deposit Plus:
The cost, y, of swimming is a function of the number of days swimming, x.
Since there is a $20 deposit plus $2.00 per day, the equation is y = $20 + $2.00x.
1c. Daily Pay:
The cost, y, of swimming is also a function of the number of days swimming, x.
Since the cost is $3.50 per day, the equation is y = $3.50x.
2. Filling in the table:
Using the equations from above, we can calculate the costs for each payment method.
Table of swimming costs using the three different payment methods:
Payment Method Number of Days 0 days 10 days 12 days 14 days 20 days
Early Pay $45 $45 $45 $45 $45
Deposit Plus $20 $40 $44 $48 $60
Daily Pay $0 $35 $42 $49 $70
3. Graphing the equations:
We can graph each equation on the same set of axes to visually compare the payment methods. The horizontal axis represents the number of days swimming (x), and the vertical axis represents the cost in dollars (y).
4. Best payment method for 10 days swimming:
Looking at the table, we can see that the best payment method for Evan to go swimming 10 times is the "Deposit Plus" option. He would have to pay $40.
5. Best payment method for 12 days swimming:
From the table, we can see that the best payment method for Evan to go swimming 12 times is still the "Deposit Plus" option. He would have to pay $44.
6. Best payment method for 14 days swimming:
Again, from the table, the best payment method for Evan to go swimming 14 times is the "Deposit Plus" option. He would have to pay $48.
7. Best payment method for an unknown number of days:
If Evan doesn't know how many times he will go swimming, it would be best for him to choose the "Daily Pay" method. This is because the cost per day is lower compared to the "Deposit Plus" method. With "Daily Pay," he can pay per day and only pay for the actual number of days he swims, which would likely be cheaper in the long run if he doesn't go swimming frequently.