What is the ratio of Option B?
(1 point)
Responses
9 oranges for every 6 dollars
9 oranges for every 6 dollars
9 oranges for every 6 oranges
9 oranges for every 6 oranges
9 dollars for every 6 oranges
9 dollars for every 6 oranges
9 dollars for every 6 dollars
To keep the ratio the same for Option A, we need to first determine what that ratio is based on the points given:
The points for Option A are:
(12, 5), (24, 10), and (36, 15)
We can deduce the ratio by dividing the number of oranges (x-coordinate) by the number of dollars (y-coordinate) for each point to see if there's a consistent ratio:
For the point (12, 5), the ratio is: 12 oranges / 5 dollars = 2.4 oranges per dollar
For the point (24, 10), the ratio is: 24 oranges / 10 dollars = 2.4 oranges per dollar
For the point (36, 15), the ratio is: 36 oranges / 15 dollars = 2.4 oranges per dollar
We can see the ratio is consistent at 2.4 oranges per dollar.
Now, let's apply this ratio to the answer choices to find which one maintains the same ratio of 2.4 oranges per dollar.
For the response (37, 16), the ratio is: 37 oranges / 16 dollars ≈ 2.3125 oranges per dollar
For the response (40, 19), the ratio is: 40 oranges / 19 dollars ≈ 2.1053 oranges per dollar
For the response (48, 20), the ratio is: 48 oranges / 20 dollars = 2.4 oranges per dollar
For the response (41, 20), the ratio is: 41 oranges / 20 dollars = 2.05 oranges per dollar
The only response that maintains the ratio of 2.4 oranges per dollar is:
(48, 20)
Therefore, the next coordinate pair to be plotted for Option A to keep the ratio the same is (48, 20).
The phrasing of the question is a bit unclear because it's not stated what "Option B" refers to. However, if we are simply to evaluate the four given options and determine which one is "Option B" without additional context, I cannot accurately do that because I do not have the information to determine which one is labeled as such.
If you need to determine the ratio of "Option B" within the context of a specific problem or situation, please provide that context so I can assist you accordingly. Otherwise, each of the responses provides a different ratio, and without further information, I cannot determine which one is "Option B".
9 oranges for every 6 dollars
9 oranges for every 6 dollars
9 oranges for every 6 oranges
9 oranges for every 6 oranges
9 dollars for every 6 oranges
9 dollars for every 6 oranges
9 dollars for every 6 dollars
In order to identify the correct ratio for "Option B," we would ordinarily need additional context from the question prompt. However, since "Option B" isn't clearly defined in what you’ve provided, we can examine the options themselves to see which ratios make logical sense.
The options given are pairs of items (oranges and dollars) against one another in different combinations:
1. 9 oranges for every 6 dollars
2. 9 oranges for every 6 dollars (this is a repetition of the first option)
3. 9 oranges for every 6 oranges (this ratio simplifies to 1:1, which means for every orange there is another orange, which is trivial and usually not a useful ratio in contexts where you are comparing two different kinds of things)
4. 9 dollars for every 6 oranges
5. 9 dollars for every 6 dollars (like the 3rd option, this simplifies to a 1:1 ratio and is also trivial when comparing the same item against itself)
Without more context, it's not possible to determine which of these is "Option B." If you are presented with a problem or scenario that requires you to choose a ratio based on certain conditions or to identify "Option B" based on a given list, please provide that information for a more targeted answer. Otherwise, if you need to know the ratio of "Option B" specifically, the information given is insufficient.
Using Ratios in the Coordinate Plane Quick Check
2 of 52 of 5 Items
Question
Use the image to answer the question.
A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.
What is the ratio of Option B?
(1 point)
Responses
9 oranges for every 6 dollars
9 oranges for every 6 dollars
9 oranges for every 6 oranges
9 oranges for every 6 oranges
9 dollars for every 6 oranges
9 dollars for every 6 oranges
9 dollars for every 6 dollars
9 dollars for every 6 dollars
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With the additional information provided, we can now analyze the points listed for Option B to determine the ratio of oranges to dollars.
The points given for Option B on the graph are as follows:
(9, 6), (18, 12), (27, 18)
By examining these points, we can see the relationship between the number of oranges (x-coordinate) and the number of dollars (y-coordinate). The first point (9, 6) indicates 9 oranges for 6 dollars. The subsequent points also maintain the same ratio; for instance, the second point (18, 12) is double the first point, and the third point (27, 18) is triple the first point.
The ratio can be directly read from the points. The x-coordinate represents the number of oranges, and the y-coordinate represents the number of dollars. Thus, for Option B, the ratio is:
9 oranges for every 6 dollars
This is the first response listed among the provided options. Therefore, the correct response is:
9 oranges for every 6 dollars
Use the image to answer the question.
A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.
Which coordinate pair should be plotted next for Option A to keep the ratio the same?
(1 point)
Responses
(37, 16)
left parenthesis 37 comma 16 right parenthesis
(40, 19)
left parenthesis 40 comma 19 right parenthesis
(48, 20)
left parenthesis 48 comma 20 right parenthesis
(41, 20)
left parenthesis 41 comma 20 right parenthesis
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Using Ratios in the Coordinate Plane Quick Check
4 of 54 of 5 Items
Question
Use the image to answer the question.
A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.
Which coordinate pair should be plotted next for Option B to keep the ratio the same?
(1 point)
Responses
(30, 21)
left parenthesis 30 comma 21 right parenthesis
(33, 24)
left parenthesis 33 comma 24 right parenthesis
(36, 24)
left parenthesis 36 comma 24 right parenthesis
(29, 20)
Given the points for Option B:
(9, 6), (18, 12), and (27, 18)
We can determine the ratio by dividing the number of oranges (x-coordinate) by the number of dollars (y-coordinate) for each point:
For (9, 6), the ratio is: 9 oranges / 6 dollars = 1.5 oranges per dollar
For (18, 12), the ratio is: 18 oranges / 12 dollars = 1.5 oranges per dollar
For (27, 18), the ratio is: 27 oranges / 18 dollars = 1.5 oranges per dollar
The ratio is consistently 1.5 oranges per dollar across all points for Option B.
Now let's examine the given response options to determine which one maintains the same ratio of 1.5 oranges per dollar.
1. For (30, 21), the ratio is: 30 oranges / 21 dollars ≈ 1.4286 oranges per dollar
2. For (33, 24), the ratio is: 33 oranges / 24 dollars ≈ 1.375 oranges per dollar
3. For (36, 24), the ratio is: 36 oranges / 24 dollars = 1.5 oranges per dollar
4. For (29, 20), the ratio is: 29 oranges / 20 dollars ≈ 1.45 oranges per dollar
Only response (36, 24) maintains the ratio of 1.5 oranges per dollar:
(36, 24)
Therefore, the next coordinate pair that should be plotted for Option B to keep the ratio the same is (36, 24).
Use the image to answer the question.
A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.
If someone plans to buy 36 oranges, which option will save them more money?
(1 point)
Responses
Option A, because the price is lower for the same number of oranges.
Option A, because the price is lower for the same number of oranges.
Option B, because the price is higher for the same number of oranges.
Option B, because the price is higher for the same number of oranges.
Option A, because the price is higher for the same number of oranges.
Option A, because the price is higher for the same number of oranges.
Option B, because the price is lower for the same number of oranges.
Option B, because the price is lower for the same number of oranges.
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