Math Problem Statement

Latesha Moore has a choice at work between a traditional health insurance plan that pays 80 percent of the cost of doctor visits after a​ $250 deductible and an HMO that charges a ​$5 ​co-payment per visit plus a ​$15 monthly premium deduction from her paycheck. Latesha anticipates seeing a doctor once a month for her high blood pressure. The cost of each office visit is ​$60. She normally sees the doctor an average of three times a year for other health concerns. Comment on the difference in costs between the two​ health-care plans and the advantages and disadvantages of each.

Solution

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Math Problem Analysis

Mathematical Concepts

Cost comparison
Insurance calculations
Multiplication
Percentage

Formulas

Total cost = Number of visits × Cost per visit
Cost after deductible = Total cost − Deductible
Coinsurance cost = Percentage × Remaining cost after deductible
HMO total cost = (Monthly premium × 12) + (Co-payment per visit × Number of visits)

Theorems

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Suitable Grade Level

Grades 9-12