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.
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.
To answer this question, we need to compare the cost per day for House 1 and House 2. However, only the cost per day for House 1 is given. We do not have the information for House 2. Therefore, we cannot determine which house had the lowest cost per day.
Use the image to answer the question.
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Games and ranges from 0 to 7 in 1 unit increments. The y-axis is labeled points and ranges from 0 to 250 in increments of 50. The graph is titled Points per Game. A line connects four points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 90 right parenthesis, left parenthesis 5 comma 150 right parenthesis, and left parenthesis 7 comma 210 right parenthesis.
The average basketball points per game for Player 1 are displayed in the graph. Player 2’s average points per game are represented by the equation y=35x. Which player had the highest average points per game? Enter 1 for Player 1. Enter 2 for Player 2.
(1 point)
Player
had the highest average points per game.
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To answer this question, we need to compare the average points per game for Player 1 and Player 2.
From the given information, we can see that Player 1's average points per game are represented by the four points plotted on the graph.
Player 2's average points per game are represented by the equation y = 35x.
To determine which player had the highest average points per game, we need to compare the values on the graph for Player 1 and the values calculated using the equation for Player 2.
By comparing the values, we can see that the points on the graph for Player 1 are higher than the values calculated using the equation for Player 2.
Therefore, Player 1 had the highest average points per game.
Enter 1 for Player 1.
Compare Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
Use the image to answer the question.
Option A and Option B are available for passes to ride public transportation. Option A is represented by the equation y=4.25x. Option B is displayed in the graph. Which option is cheaper per day? Enter 1 for Option A. Enter 2 for Option B.
(1 point)
is cheaper per day.
To answer this question, we need to compare the cost per day for Option A and Option B.
Option A is represented by the equation y = 4.25x, where x represents the number of days and y represents the cost per day.
Option B is displayed in the graph, but the graph or additional information about Option B is not provided in the question.
Therefore, without any information about the cost per day for Option B, we cannot determine which option is cheaper per day.
To determine which house had the lowest cost per day, we need to compare the values in the table and the points on the graph.
For House 1, the table shows the accumulated electricity costs per day as follows:
- 6 days: $97.50
- 8 days: $130.00
- 12 days: $195.00
For House 2, the graph shows the points plotted as follows:
- (0, 0)
- (5, 75)
- (10, 150)
- (15, 225)
- (20, 300)
- (25, 375)
- (30, 450)
Comparing the values, we can see that House 1 had the lowest accumulated electricity cost per day.
Therefore, the answer is House 1.
To determine which house had the lowest cost per day, we need to compare the data given for House 1 and House 2.
In this case, the table represents the proportional relationship for House 1, and the graph represents the proportional relationship for House 2.
Looking at the table for House 1, we can see the electricity cost per day for different numbers of days. The cost increases as the number of days increases.
Looking at the graph for House 2, we can see the relationship between days and cost represented by the line connecting the plotted points. From the given coordinates, we can see that as the number of days increases, the cost also increases.
To determine which house had the lowest cost per day, we need to compare the rates of increase for each house. We can do this by comparing the slopes of the lines for each house on the graph.
To find the slope, we can use the formula:
slope = (change in y)/(change in x)
For House 1, we can choose any two points on the line in the table to find the slope. Let's choose the points (6, 97.50) and (12, 195.00):
slope for House 1 = (195.00 - 97.50)/(12 - 6) = 97.50 / 6 = 16.25
For House 2, we can use the coordinates of the plotted points on the graph to calculate the slope. Let's choose the points (10, 150) and (20, 300):
slope for House 2 = (300 - 150)/(20 - 10) = 150 / 10 = 15
Comparing the slopes, we can see that House 1 has a slope of 16.25, while House 2 has a slope of 15.
Since the slope represents the rate of increase, and a lower slope means a lower rate of increase, we can conclude that House 2 had the lowest cost per day.
Therefore, the answer is: House 2 had the lowest accumulated electricity cost per day. Enter 2 for House 2.