Compare Proportional Relationships Practice

Question

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.

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 analyze the data provided for both houses.

House 1 (from the table):

• Cost for 6 days = $97.50 → Cost per day = $97.50 / 6 = $16.25
• Cost for 8 days = $130.00 → Cost per day = $130.00 / 8 = $16.25
• Cost for 12 days = $195.00 → Cost per day = $195.00 / 12 = $16.25

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

House 2 (from the graph): From the graph, we can calculate the cost per day based on the coordinates:

• For 10 days (point (10, 150)): Cost per day = $150 / 10 = $15.00
• For 15 days (point (15, 225)): Cost per day = $225 / 15 = $15.00
• For 20 days (point (20, 300)): Cost per day = $300 / 20 = $15.00

House 2 also has a consistent cost of $15.00 per day.

Now comparing the two:

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

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

Final answer: House 2 had the lowest accumulated electricity cost per day.