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.
To determine which store has the better buy for a gallon of gasoline, we can compare the cost per gallon for both stores.
In Store A, the cost of gasoline for 5 gallons is $20, so the cost per gallon is $20/5 gallons = $4/gallon.
In Store B, the cost of gasoline for 5 gallons is $18.75, so the cost per gallon is $18.75/5 gallons = $3.75/gallon.
Comparing the two, we can see that Store B has a lower cost per gallon of gasoline ($3.75/gallon) compared to Store A ($4/gallon). Therefore, Store B has the better buy for a gallon of gasoline.
Enter 2 for Store B.
are you sure>
Apologies for the error in my previous response. Let's recalculate the cost per gallon for both stores:
In Store A, the cost of gasoline for 5 gallons is $20, so the cost per gallon is $20/5 gallons = $4/gallon.
In Store B, the cost of gasoline for 5 gallons is $18.75, so the cost per gallon is $18.75/5 gallons = $3.75/gallon.
Comparing the two, we can see that Store B still has a lower cost per gallon of gasoline ($3.75/gallon) compared to Store A ($4/gallon). Therefore, Store B has the better buy for a gallon of gasoline.
Enter 2 for Store B.
Use the table and image to answer the question.
Electricity Cost per Day for House 1
Days ($) 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 determine which house had the lowest cost per day, we need to compare the rates of increase in cost per day for House 1 and House 2.
For House 1, the cost of electricity increases by $32.50 for every 2 days:
- From 6 days to 8 days, the cost increases by $130 - $97.50 = $32.50.
- From 8 days to 12 days, the cost increases by $195 - $130 = $65.
- The rate of increase is constant, so the cost increases by $32.50 for every 2 days.
For House 2, the cost of electricity increases by $75 for every 5 days:
- From 5 days to 10 days, the cost increases by $150 - $75 = $75.
- From 10 days to 15 days, the cost increases by $225 - $150 = $75.
- From 15 days to 20 days, the cost increases by $300 - $225 = $75.
- From 20 days to 25 days, the cost increases by $375 - $300 = $75.
- From 25 days to 30 days, the cost increases by $450 - $375 = $75.
- The rate of increase is constant, so the cost increases by $75 for every 5 days.
Comparing the two rates of increase, we can see that House 1 has a lower rate of increase in cost per day compared to House 2. Therefore, House 1 had the lowest cost per day.
Enter 1 for House 1.
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.
To determine which player had the highest average points per game, we need to compare the average points per game for Player 1 and Player 2.
For Player 1, the graph shows four data points: (0, 0), (3, 90), (5, 150), and (7, 210). The line connecting these points represents the average points per game for Player 1. The slope of this line indicates the rate at which the points increase per game. However, the equation for Player 2's average points per game, y = 35x, is a straight line with a constant slope of 35.
Comparing the slopes:
- For Player 1, the slope is steeper than 35, indicating a faster rate of increase in points per game.
- For Player 2, the slope is a constant 35.
Therefore, Player 1 had the highest average points per game.
Enter 1 for Player 1.