Question
page 6 of 7
Compare Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
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 ($) Cost
6 97.50
8 130.00
12 195.00
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Days and ranges from 0 to 35 in 5 unit increments. The y-axis is labeled Cost in dollars and ranges from 0 to 500 in 50 unit increments. The graph is titled Electricity Cost Per Day. A line connects seven points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 5 comma 75 right parenthesis, left parenthesis 10 comma 150 right parenthesis, left parenthesis 15 comma 225 right parenthesis, left parenthesis 20 comma 300 right parenthesis, left parenthesis 25 comma 375 right parenthesis, and left parenthesis 30 comma 450 right parenthesis.
The accumulated electricity costs for two houses are displayed in the table and the graph. The table represents the proportional relationship for House 1, and the graph represents the proportional relationship for House 2. Which house had the lowest cost per day? Enter 1 for House 1. Enter 2 for House 2.
(1 point)
House
had the lowest accumulated electricity cost per day.
Compare Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Use the table and image to answer the question.
This table presents the daily electricity cost for House 1, showing the total cost in dollars over different numbers of days.
Electricity Cost per Day for House 1
Days ($) 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.
Answers
GPT-4o mini
To determine which house had the lowest accumulated electricity cost per day, we need to calculate the cost per day for House 1 based on the data provided in the table, and then interpret the graph for House 2.
**For House 1:**
From the table:
- At 6 days, the cost is $97.50 → Cost per day = 97.50 / 6 = $16.25
- At 8 days, the cost is $130.00 → Cost per day = 130.00 / 8 = $16.25
- At 12 days, the cost is $195.00 → Cost per day = 195.00 / 12 = $16.25
Thus, the cost per day for House 1 is consistently $16.25.
**For House 2:**
To find the cost per day from the coordinates plotted on the graph:
- At 5 days, the cost is $75 → Cost per day = 75 / 5 = $15
- At 10 days, the cost is $150 → Cost per day = 150 / 10 = $15
- At 15 days, the cost is $225 → Cost per day = 225 / 15 = $15
- At 20 days, the cost is $300 → Cost per day = 300 / 20 = $15
- At 25 days, the cost is $375 → Cost per day = 375 / 25 = $15
- At 30 days, the cost is $450 → Cost per day = 450 / 30 = $15
The cost per day for House 2 is consistently $15.
**Comparison:**
- House 1: $16.25 per day
- House 2: $15.00 per day
House 2 has the lowest accumulated electricity cost per day.
So the answer is:
**2** for House 2 had the lowest accumulated electricity cost per day.
**For House 1:**
From the table:
- At 6 days, the cost is $97.50 → Cost per day = 97.50 / 6 = $16.25
- At 8 days, the cost is $130.00 → Cost per day = 130.00 / 8 = $16.25
- At 12 days, the cost is $195.00 → Cost per day = 195.00 / 12 = $16.25
Thus, the cost per day for House 1 is consistently $16.25.
**For House 2:**
To find the cost per day from the coordinates plotted on the graph:
- At 5 days, the cost is $75 → Cost per day = 75 / 5 = $15
- At 10 days, the cost is $150 → Cost per day = 150 / 10 = $15
- At 15 days, the cost is $225 → Cost per day = 225 / 15 = $15
- At 20 days, the cost is $300 → Cost per day = 300 / 20 = $15
- At 25 days, the cost is $375 → Cost per day = 375 / 25 = $15
- At 30 days, the cost is $450 → Cost per day = 450 / 30 = $15
The cost per day for House 2 is consistently $15.
**Comparison:**
- House 1: $16.25 per day
- House 2: $15.00 per day
House 2 has the lowest accumulated electricity cost per day.
So the answer is:
**2** for House 2 had the lowest accumulated electricity cost per day.