Use the table and image to answer the question.

Electricity Cost per Day for House 1
Days | ($) Cost
6 | 97.50
8 | 130.00
12 | 195.00
Electricity Cost per Day
(30, 450), (25, 375), (20, 300), (15, 225), (10, 150), (5, 75), (0, 0)
The accumulated electricity costs for two houses are displayed in the table and the graph. The table represents the proportional relationship for House 1, and the graph represents the proportional relationship for House 2. Which house had the lowest cost per day? Enter 1 for House 1. Enter 2 for House 2.
House __ had the lowest accumulated electricity cost per day.

1 answer

To determine which house had the lowest cost per day, we can analyze the provided data.

For House 1, the costs given are:

  • 6 days: $97.50 → cost per day = $97.50 / 6 = $16.25
  • 8 days: $130.00 → cost per day = $130.00 / 8 = $16.25
  • 12 days: $195.00 → cost per day = $195.00 / 12 = $16.25

For House 2, the graph represents a linear relationship, and we can read the accumulated costs:

  • At 5 days, the cost is $75 → cost per day = $75 / 5 = $15.00
  • At 10 days, the cost is $150 → cost per day = $150 / 10 = $15.00
  • At 15 days, the cost is $225 → cost per day = $225 / 15 = $15.00
  • At 20 days, the cost is $300 → cost per day = $300 / 20 = $15.00
  • At 25 days, the cost is $375 → cost per day = $375 / 25 = $15.00
  • At 30 days, the cost is $450 → cost per day = $450 / 30 = $15.00

From this analysis:

  • House 1 has a consistent cost per day of $16.25.
  • House 2 has a consistent cost per day of $15.00.

Comparing the costs per day, House 2 has the lower cost of $15.00 compared to House 1’s $16.25.

Thus, the answer is: House 2 had the lowest accumulated electricity cost per day.