Use the image to answer the question.
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Ounces and ranges from 0 to 40 in 5 unit increments. The y-axis is labeled Cost in dollars and ranges from from 0.00 to 4.00 in increments of 0.50. The graph is titled Cost per Ounce. 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 8 comma 0.80 right parenthesis, left parenthesis 15 comma 1.50 right parenthesis, and left parenthesis 30 comma 3.00 right parenthesis.
The graph displays the cost per ounce of canned peas. Use the graph to determine the unit rate of the proportional relationship.
(1 point)
Responses
Canned peas cost $10 per ounce.
Canned peas cost $10 per ounce.
Canned peas cost $30 per ounce.
Canned peas cost $30 per ounce.
Canned peas cost $0.10 per ounce.
Canned peas cost $0.10 per ounce.
Canned peas cost $3.00 per ounce.
The unit rate can be determined by finding the slope of the line connecting the plotted points. The slope is found by dividing the change in y-coordinates by the change in x-coordinates.
The change in y-coordinates is 3.00 - 0.00 = 3.00 and the change in x-coordinates is 30 - 0 = 30.
Therefore, the unit rate is 3.00/30 = 0.10.
So the correct answer is: Canned peas cost $0.10 per ounce.
Slope as Unit Rate Quick Check
2 of 52 of 5 Items
Question
Use the image to answer the question.
An illustration shows two graphs depicting cost of gasoline per gallon in dollars in store A and B. The first graph shows 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. The second graph shows cost of gasoline per gallon in dollars in store B. The horizontal axis shows gallons ranging from 0 to 10 in increments of 2. The vertical axis shows the cost in dollars ranging from 0 to 30 in increments of 2. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 4 comma 14 right parenthesis, and left parenthesis 8 comma 28 right parenthesis. A line connects all the data points.
The proportional relationship between the cost of gasoline and the number of gallons of gasoline from Store A and Store B are displayed in the graphs. Use the graphs to interpret the store that has the cheaper cost of gasoline per gallon.
(1 point)
Responses
Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon.
Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.
To determine which store has the cheaper cost of gasoline per gallon, we need to compare the slopes of the lines on the graphs for Store A and Store B. The slope represents the unit rate, or cost per gallon.
In Store A, the change in y-coordinates is 60 - 0 = 60, and the change in x-coordinates is 15 - 0 = 15. So the unit rate for Store A is 60/15 = $4.00 per gallon.
In Store B, the change in y-coordinates is 28 - 0 = 28, and the change in x-coordinates is 8 - 0 = 8. So the unit rate for Store B is 28/8 = $3.50 per gallon.
Therefore, the correct answer is: Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.
r u sure
Apologies for the incorrect response. Let's recalculate the unit rates correctly.
For Store A:
The change in y-coordinates is 60 - 0 = 60
The change in x-coordinates is 15 - 0 = 15
Therefore, the unit rate for Store A is 60/15 = $4.00 per gallon.
For Store B:
The change in y-coordinates is 28 - 0 = 28
The change in x-coordinates is 8 - 0 = 8
Therefore, the unit rate for Store B is 28/8 = $3.50 per gallon.
Based on the calculations, we can conclude that Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.
To determine the unit rate of the proportional relationship displayed on the graph, we need to find the cost per ounce.
From the graph, we can see that the y-coordinate (cost) increases by 0.50 units for every 5 units increase in the x-coordinate (ounces).
So, for every 5 units increase in ounces, the cost increases by $0.50.
This means that the unit rate of the proportional relationship is $0.50 per 5 ounces, or simplified, $0.10 per ounce.
Therefore, the correct answer is:
Canned peas cost $0.10 per ounce.
To determine the unit rate of the proportional relationship shown on the graph, we need to find the cost per ounce.
Looking at the graph, we can see that the x-axis represents ounces of canned peas, and the y-axis represents the cost in dollars. The line on the graph connects four points: (0, 0), (8, 0.80), (15, 1.50), and (30, 3.00).
To find the unit rate, we need to divide the cost by the number of ounces. Let's take the first two points: (0, 0) and (8, 0.80). The cost increases by $0.80 as the number of ounces increases by 8. This means that for every 8 ounces, the cost increases by $0.80.
To find the unit rate, we divide the increase in cost by the increase in ounces:
$0.80 / 8 oz = $0.10/oz
Therefore, the unit rate of the proportional relationship shown on the graph is $0.10 per ounce.
So the correct answer is: Canned peas cost $0.10 per ounce.