Question

Use the table and image to answer the question.

This table presents the daily electricity cost for House 1, showing the total cost in dollars over different numbers of days.
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.

Answer 1

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

**House 1:**
From the table:
- At 6 days, the cost is $97.50. So, the cost per day is \( \frac{97.50}{6} = 16.25 \) dollars/day.
- At 8 days, the cost is $130. So, the cost per day is \( \frac{130}{8} = 16.25 \) dollars/day.
- At 12 days, the cost is $195. So, the cost per day is \( \frac{195}{12} = 16.25 \) dollars/day.

The cost per day for House 1 is consistently $16.25.

**House 2:**
From the graph:
- At 0 days, the cost is $0.
- At 5 days, the cost is $75. So, the cost per day is \( \frac{75}{5} = 15 \) dollars/day.
- At 10 days, the cost is $150. So, the cost per day is \( \frac{150}{10} = 15 \) dollars/day.
- At 15 days, the cost is $225. So, the cost per day is \( \frac{225}{15} = 15 \) dollars/day.
- At 20 days, the cost is $300. So, the cost per day is \( \frac{300}{20} = 15 \) dollars/day.
- At 25 days, the cost is $375. So, the cost per day is \( \frac{375}{25} = 15 \) dollars/day.
- At 30 days, the cost is $450. So, the cost per day is \( \frac{450}{30} = 15 \) dollars/day.

The cost per day for House 2 is consistently $15.

**Comparison:**
- House 1: $16.25/day
- House 2: $15/day

House 2 had the lowest accumulated electricity cost per day.

The answer is:

**2**