Final answer:
To determine the savings a family would realize by purchasing health insurance, we multiply the individual medical expense by the number of family members, and then subtract the cost of the health insurance plan. The family will save $1,500 by purchasing the health insurance plan that covers all their medical expenses.
Step-by-step explanation:
The subject of the question is Mathematics since we will be calculating potential savings from a health insurance plan compared to out-of-pocket medical expenses for a family of six. To find out how much the family will save by purchasing the health insurance plan, we must first calculate the total medical expenses they would face without insurance.
First, we calculate the total medical expenses for the family. Since each of the six family members has $750 in medical expenses per year, we multiply 6 by $750 which equals $4,500.
Next, we compare this amount to the annual cost of the health insurance plan which is $3,000. To find the savings, we subtract the cost of the insurance plan from the total medical expenses: $4,500 (total expenses) - $3,000 (insurance plan) = $1,500 savings.
Therefore, the family will save $1,500 per year by purchasing the health insurance plan, which pays 100 percent of their medical expenses.