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The monthly fee for a local pool is $10 per month plus $4 per visit. A customer visits the pool 12 times in 1 month.What is their total bill for the month?

Question

The monthly fee for a local pool is 10permonthplus10 per month plus 4 per visit. A customer visits the pool 12 times in 1 month. What is their total bill for the month?

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Solution

1. Break Down the Problem

To calculate the total bill for the month, we need to consider two components:

  • The fixed monthly fee
  • The variable cost depending on the number of visits to the pool.

2. Relevant Concepts

The total bill can be represented by the following formula: Total Bill=Monthly Fee+(Cost per Visit×Number of Visits) \text{Total Bill} = \text{Monthly Fee} + (\text{Cost per Visit} \times \text{Number of Visits})

3. Analysis and Detail

  • Monthly Fee: $10
  • Cost per Visit: $4
  • Number of Visits: 12

Now, substitute the values into the formula: Total Bill=10+(4×12) \text{Total Bill} = 10 + (4 \times 12) Calculate the variable cost: 4×12=48 4 \times 12 = 48 Now, add this to the monthly fee: Total Bill=10+48=58 \text{Total Bill} = 10 + 48 = 58

4. Verify and Summarize

The calculations are correct as we added the monthly fee to the total cost of visits. The total cost reflects both the fixed and variable components accurately.

Final Answer

The total bill for the month is $58.

This problem has been solved

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