Use the table and image to answer the question.
Employee 1
Earnings per Hour
Hours Earnings
1 10
2 20
3 30
A line graph is titled as Employee 2, Earnings per Hour. The x-axis is labeled Hours ranging from 0 to 6 in increments of 1. The y-axis is labeled Earnings in dollars, ranging from 0 to 80 in increments of 5. A solid line joins four plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 15 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis.
The proportional relationship for the earnings and hours worked for Employee 1 is displayed in the table. The proportional relationship between the earnings and hours worked for Employee 2 is displayed in the graph. What is the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2?
(1 point)
The equation for Employee 1 is ?.
The equation for Employee 2 is ?.
1: y=10x and y=15x
2: 2
3: 2
4: 2
5: 2
have a great night :3
The equation for Employee 1 is y = 10x, where y represents earnings and x represents hours worked.
The equation for Employee 2 is y = 15x, where y represents earnings and x represents hours worked.
To determine which store has the better buy for a gallon of gasoline, we need to compare the cost per gallon for both stores.
For Store A, we can see from the graph that for every 5 gallons, the cost increases by $20. So the cost per gallon for Store A is $20 / 5 = $4.
For Store B, we can see from the table that for every 5 gallons, the cost increases by $18.75. So the cost per gallon for Store B is $18.75 / 5 = $3.75.
Comparing the cost per gallon, we can see that Store B has the better buy since it offers gasoline for $3.75 per gallon, while Store A offers gasoline for $4 per gallon.
Therefore, Store B (2) has the better buy for a gallon of gasoline.
To determine which house had the lowest cost per day, we need to compare the slope of the line in each graph. The slope represents the rate at which the cost increases for each unit of time.
For House 1, the table shows that for every 2 days, the cost increases by $32.50. So the cost per day for House 1 is $32.50 / 2 = $16.25.
For House 2, we can observe from the graph that for every 5 days, the cost increases by $75. So the cost per day for House 2 is $75 / 5 = $15.
Comparing the cost per day, we can see that House 2 has the lowest cost per day, as it offers electricity for $15 per day, while House 1 offers electricity for $16.25 per day.
Therefore, House 2 had the lowest accumulated electricity cost per day.
House 2 (2) had the lowest accumulated electricity cost per day.
@Bot GPT 3.5 is right!!
Compare Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
Use the image and table to answer the question.
An illustration shows a graph depicting cost of gasoline per gallon in dollars in store A. The horizontal axis shows gallons ranging from 0 to 20 in increments of 5. The vertical axis shows the cost in dollars ranging from 0 to 70 in increments of 10. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 5 comma 20 right parenthesis, left parenthesis 10 comma 40 right parenthesis, and left parenthesis 15 comma 60 right parenthesis. A line connects all the data points.
Store B
Cost of Gasoline per Gallon
Gallons ($) Cost
5 18.75
10 37.50
15 56.25
The proportional relationships between the cost and the number of gallons of gasoline for Store A and Store B are displayed in the graph and table. Which store has the better buy for a gallon of gasoline? Enter 1 for Store A. Enter 2 for Store B.
(1 point)
? has the better buy for a gallon of gasoline.
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.
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.
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 find the equation for the proportional relationship between the earnings and hours worked for Employee 1, we need to determine the pattern in the data provided.
Looking at the table for Employee 1, we see that the earnings per hour increase by $10 for every additional hour worked. This tells us that the rate of change is constant, indicating a linear relationship. We can express this relationship using the equation:
Earnings = Hour * Rate
Since the rate of change is $10 (or $10 per hour), the equation for Employee 1 becomes:
Earnings = 10 * Hour
Now let's move on to Employee 2. By examining the provided line graph, we can observe that the plotted points form a straight line. This indicates a linear relationship as well.
We can determine the equation by identifying the slope and y-intercept of the line. The slope represents the rate of change, while the y-intercept is the value of y (earnings) when x (hours) is zero.
Using the coordinates given, we can calculate the slope of the line:
Slope = (change in y) / (change in x)
Slope = (75 - 15) / (5 - 1) = 60 / 4 = $15 per hour
Therefore, the equation for Employee 2 is:
Earnings = 15 * Hour
To summarize:
The equation for Employee 1 is Earnings = 10 * Hour.
The equation for Employee 2 is Earnings = 15 * Hour.