the baum and the freeman families are comparing their electric bills for the past month. the baum family is…

the baum and the freeman families are comparing their electric bills for the past month. the baum family is on a standard use plan and the freeman family is on an interval use plan. each family’s usage is listed on the chart below:\n| standard use plan | interval use plan |\n| --- | --- |\n| 8.5 cents/kwh for the first 400 kwh | on - peak hours - 13 cents/kwh |\n| 12 cents/kwh for the next 400 kwh | off - peak hours - 2 cents/kwh |\n| 14.5 cents/kwh for anything over 800 kwh | |\nboth families use 1250 kwh for the given 30 - day period. the freeman family uses 400 kwh during on - peak hours and 850 during off - peak hours. which family ends up paying more for their utilities? how much more?\n a. the freeman family pays $260.83 more than the baum family.\n b. the freeman family pays $250.00 more than the baum family.\n c. the baum family pays $69.00 more than the freeman family.\n d. the baum family pays $78.25 more than the freeman family.

the baum and the freeman families are comparing their electric bills for the past month. the baum family is on a standard use plan and the freeman family is on an interval use plan. each family’s usage is listed on the chart below:\n| standard use plan | interval use plan |\n| --- | --- |\n| 8.5 cents/kwh for the first 400 kwh | on - peak hours - 13 cents/kwh |\n| 12 cents/kwh for the next 400 kwh | off - peak hours - 2 cents/kwh |\n| 14.5 cents/kwh for anything over 800 kwh | |\nboth families use 1250 kwh for the given 30 - day period. the freeman family uses 400 kwh during on - peak hours and 850 during off - peak hours. which family ends up paying more for their utilities? how much more?\n a. the freeman family pays $260.83 more than the baum family.\n b. the freeman family pays $250.00 more than the baum family.\n c. the baum family pays $69.00 more than the freeman family.\n d. the baum family pays $78.25 more than the freeman family.

Answer

Explanation:

Step1: Calculate Baum family's bill

First - 400 kWh cost: $400\times0.085 = 34$ dollars. Second - 400 kWh cost: $400\times0.12=48$ dollars. Remaining usage: $1250 - 800=450$ kWh, cost: $450\times0.145 = 65.25$ dollars. Total Baum bill: $34 + 48+65.25=147.25$ dollars.

Step2: Calculate Freeman family's bill

On - peak cost: $400\times0.13 = 52$ dollars. Off - peak cost: $850\times0.02=17$ dollars. Total Freeman bill: $52 + 17=69$ dollars.

Step3: Find the difference

Difference: $147.25 - 69 = 78.25$ dollars. The Baum family pays more.

Answer:

D. The Baum family pays $78.25 more than the Freeman family.