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)
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 costs from the data provided for House 1 and the graph for House 2.

For House 1:

  • At 6 days, the cost is $97.50. Cost per day = \( \frac{97.50}{6} = 16.25\) per day.
  • At 8 days, the cost is $130.00. Cost per day = \( \frac{130.00}{8} = 16.25\) per day.
  • At 12 days, the cost is $195.00. Cost per day = \( \frac{195.00}{12} = 16.25\) per day.

Average Cost for House 1:

The cost per day remains consistent at $16.25 for House 1.

For House 2:

We will look at the graph to approximate the costs for House 2 on the x-axis for days 5, 10, and 15, etc. (which we see was provided as coordinates in the points plotted). The costs at these points are:

  • At 5 days, about $75. Cost per day = \( \frac{75}{5} = 15\) per day.
  • At 10 days, about $150. Cost per day = \( \frac{150}{10} = 15\) per day.
  • At 15 days, about $225. Cost per day = \( \frac{225}{15} = 15\) per day.
  • And similar calculations can be performed for other points if needed.

Average Cost for House 2:

The cost per day remains consistent at $15.00 for House 2.

Conclusion:

  • House 1: $16.25 per day.
  • House 2: $15.00 per day.

House 2 had the lowest accumulated electricity cost per day.

So, the answer is 2.