Final answer:
The total energy bill for the Morgan family is $448.46.
Step-by-step explanation:
To calculate the total energy bill for the Morgan family, we need to calculate the costs for gas and electricity separately and then add them together. Let's start with gas:
- Baseline usage for gas: 30 therms.
- Gas usage above baseline: 43 therms - 30 therms = 13 therms.
- Cost for baseline usage: 30 therms x $1.22 per therm = $36.60.
- Cost for above baseline usage: 13 therms x $1.53 per therm = $19.89.
- Total cost for gas: $36.60 + $19.89 = $56.49.
Now let's calculate the costs for electricity:
- Baseline usage for electricity: 250 kwh.
- Electricity usage above baseline: 847 kwh - 250 kwh = 597 kwh.
- Cost for baseline usage: 250 kwh x $0.35 per kwh = $87.50.
- Cost for above baseline usage: 597 kwh x $0.51 per kwh = $304.47.
- Total cost for electricity: $87.50 + $304.47 = $391.97.
Finally, we can calculate the total energy bill by adding the gas and electricity costs together: $56.49 + $391.97 = $448.46