To determine which prescription drug coverage plan is the least expensive for Emmeline's family, we need to calculate the total monthly cost for each option, taking into account the monthly premium and the prescription co-pay.
Let's go through each option step-by-step:
### Option A:
- Monthly Premium: [tex]$50
- Prescription Co-pay: $[/tex]20 per prescription
- Average number of prescriptions per month: 2
Total monthly cost for Option A:
[tex]\[ 50 + (20 \times 2) = 50 + 40 = 90 \][/tex]
### Option B:
- Monthly Premium: [tex]$70
- Prescription Co-pay: $[/tex]15 per prescription
- Average number of prescriptions per month: 2
Total monthly cost for Option B:
[tex]\[ 70 + (15 \times 2) = 70 + 30 = 100 \][/tex]
### Option C:
- Monthly Premium: [tex]$90
- No prescription co-pay (included in premium)
Total monthly cost for Option C:
\[ 90 \]
### Option D:
- Monthly Premium: $[/tex]110
- No prescription co-pay (included in premium)
Total monthly cost for Option D:
[tex]\[ 110 \][/tex]
Now, let's compare the total monthly costs for all options:
- Option A: [tex]$90
- Option B: $[/tex]100
- Option C: [tex]$90
- Option D: $[/tex]110
Both Option A and Option C have the least expensive total monthly cost of [tex]$90. However, since Option A is listed first and they have the same cost of $[/tex]90, we can choose Option A as the least expensive option for Emmeline's family.
Thus, the least expensive option for Emmeline’s family is:
Option A
