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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
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Days and ranges from 0 to 35 in 5 unit increments. The y-axis is labeled Cost in dollars and ranges from 0 to 500 in 50 unit increments. The graph is titled Electricity Cost Per Day. A line connects seven points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 5 comma 75 right parenthesis, left parenthesis 10 comma 150 right parenthesis, left parenthesis 15 comma 225 right parenthesis, left parenthesis 20 comma 300 right parenthesis, left parenthesis 25 comma 375 right parenthesis, and left parenthesis 30 comma 450 right parenthesis.

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.

(1 point)

1 answer

To determine which house had the lowest cost per day, we need to calculate the cost per day for both houses.

For House 1, we can calculate the cost per day based on the data provided in the table:

  • Day 6: Cost = $97.50 → Cost per day = $97.50 / 6 = $16.25
  • Day 8: Cost = $130.00 → Cost per day = $130.00 / 8 = $16.25
  • Day 12: Cost = $195.00 → Cost per day = $195.00 / 12 = $16.25

So, the cost per day for House 1 is consistently $16.25.

For House 2, we can analyze the points from the graph provided:

  • At day 5: Cost = $75 → Cost per day = $75 / 5 = $15
  • At day 10: Cost = $150 → Cost per day = $150 / 10 = $15
  • At day 15: Cost = $225 → Cost per day = $225 / 15 = $15
  • At day 20: Cost = $300 → Cost per day = $300 / 20 = $15
  • At day 25: Cost = $375 → Cost per day = $375 / 25 = $15
  • At day 30: Cost = $450 → Cost per day = $450 / 30 = $15

So, the cost per day for House 2 is consistently $15.

Now we can compare the costs:

  • Cost per day for House 1 = $16.25
  • Cost per day for House 2 = $15.00

Since $15.00 (House 2) is lower than $16.25 (House 1), House 2 had the lowest cost per day.

The answer is 2 for House 2.