Using Ratios in the Coordinate Plane 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 tables and image to answer the question.
Option A
x
(sticks of butter) y
(cups of water)
2 3
4 6
6 9
Option B
x
(sticks of butter) y
(cups of water)
3 4
6 8
A graph with the x-axis representing sticks of butter ranging from 0 to 10 in increments of 1 and the y-axis representing cups of water ranging from 0 to 10 in increments of 1 shows three plotted points, 2 for option A and 1 for option B. Option A has the following points: left parenthesis 2 comma 3 right parenthesis and left parenthesis 4 comma 6 right parenthesis. Option B has the following point: left parenthesis 3 comma 4 right parenthesis.
Based on the tables and coordinate plane, identify the missing equivalent ratios from the coordinate plane.
(1 point)
(
); (
)
please help my head hurts from doing this
Sure, let's work through this together.
We're given two options (A and B), each with a series of ordered pairs (x, y) representing sticks of butter and cups of water, respectively.
For Option A, we are given the following points on the coordinate plane:
- (2, 3)
- (4, 6)
Looking at these ratios, we can see that there is a consistent relationship between the number of sticks of butter and cups of water. For every stick of butter, there are 1.5 cups of water. This is because 3 (cups of water) ÷ 2 (sticks of butter) = 1.5, and 6 (cups of water) ÷ 4 (sticks of butter) = 1.5.
For Option B, we are given only one point on the coordinate plane:
- (3, 4)
The ratio here is 4 (cups of water) ÷ 3 (sticks of butter) = 1.333... (repeating). This suggests that for every stick of butter in Option B, there are 4/3 or about 1.333... cups of water.
Now, let us complete Option A using the given ratio (1 stick of butter : 1.5 cups of water). We have:
- For 2 sticks of butter: 2 * 1.5 = 3 cups of water (already on the graph).
- For 4 sticks of butter: 4 * 1.5 = 6 cups of water (already on the graph).
- For 6 sticks of butter: 6 * 1.5 = 9 cups of water (this must be added to our graph).
So, the missing equivalent ratio for Option A on the coordinate plane is (6, 9).
Let's also complete Option B (3 sticks of butter : 4 cups of water):
- We're given 3 sticks of butter: 3 → 4 cups of water (already on the graph).
- If we double the sticks of butter to 6, we should double the cups of water to 8 to maintain the ratio.
So, the missing equivalent ratio for Option B on the coordinate plane is (6, 8).
To sum up, the missing equivalent ratios from the coordinate plane for Options A and B are:
- Option A: (6, 9)
- Option B: (6, 8)
And the answer you would write on your assessment would be:
(6, 9); (6, 8)
...
I noticed that you might still be feeling overwhelmed, so let me clarify further:
The question seems to ask you only to complete one part of the assessment, which is to identify the missing equivalent ratios from the coordinate plane given the tables of options A and B.
Based on the information given:
**Option has a linear relationship that can be described by the equation y = 1.5x. The points (2,3) and (4,6) conform to this ratio since 3/2 = 1.5 and 6/4 = 1.5. We are told there is a third point that belongs to Option A, based on the table given: (6, 9). This third point also follows the same ratio since 9/6 = 1.5. Therefore, the missing equivalent ratio from the coordinate plane for Option A is (6, 9).
**Option B** also demonstrates a proportional relationship, as we can see from the single given point (3,4). We can infer that doubling the sticks of butter to 6 should double the cups of water to 8, maintaining the same ratio of 4/3. Therefore, the missing equivalent ratio from the coordinate plane for Option B is (6, 8).
Hence, the answer you're required to fill in based on the ratios from the given tables and coordinate plane should be:
(6, 9); (6, 8)
Which means:
- For Option A, the missing point on the coordinate plane is (6, 9).
- For Option B, the missing point on the coordinate plane is (6, 8).
thank you...
You're welcome! I'm glad I could help. If you have any more questions or need further assistance with anything else, feel free to ask. Good luck with your studies, and take care!
Using Ratios in the Coordinate Plane 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 tables and image to answer the question.
Option A
x
(megabytes) y
(seconds)
7 2
14 4
21 6
Option B
x
(megabytes) y
(seconds)
8 3
16 6
A graph with the x-axis representing megabytes ranging from 0 to 22 in increments of 1 and the y-axis representing seconds ranging from 0 to 7 in increments of 1 shows three plotted points, 2 for option A and 1 for option B. Option A has the following points: left parenthesis 7 comma 2 right parenthesis and left parenthesis 14 comma 4 right parenthesis. Option B has the following point: left parenthesis 8 comma 3 right parenthesis.
Based on the tables and coordinate plane, identify the missing equivalent ratios from the coordinate plane.
(1 point)
(
); (
)
sorry im terrible at math,, i tried all the awnsers i could come
No problem, let's go through this step by step.
We are given two options (A and B), and for each, we have a series of ordered pairs (x, y) representing megabytes and seconds, respectively. We need to identify the missing equivalent ratios from the coordinate plane.
**Option has the following points:
- (7, 2)
- (14, 4)
We can see that there is a constant ratio between megabytes and seconds. For Option A, every 7 megabytes take 2 seconds to download (or process). This ratio can be checked:
2 seconds / 7 megabytes = 0.2857... seconds per megabyte
Knowing this ratio is constant, we can see that when the megabytes double (14), the seconds also double (4). Now we need to find out what 21 megabytes would correspond to with this ratio. Let's use the ratio we already have:
0.2857... * 21 megabytes = 6 seconds
So Option A's missing point that should be plotted on the graph, based on the pattern and table provided, is (21, 6).
**Option B** has the following points:
- (8, 3)
- (16, 6)
This also represents a constant ratio and we can calculate it in the same way:
3 seconds / 8 megabytes = 0.375 seconds per megabyte
If we double the megabytes to 16, the seconds double to 6, showing the ratio is consistent. The table for Option B doesn’t list a third point, but it’s implied that if we were to continue following the pattern and double the amount of megabytes again to 32 (which is beyond the range of our graph), we would double the seconds to 12. However, since 32 megabytes exceeds our graph's x-axis limit (it only goes up to 22), we can't double it; instead, we'll need to find a point that fits within the range.
Unfortunately, we don't have enough information to determine a third point for Option B within the range of the graph because each point given is just doubling the previous one. So without an additional table entry for Option B or a specific graph range that includes 32 megabytes, we cannot confidently provide an accurate point for Option B.
Based on the information provided, we can only complete the missing point for Option A, so your answer would be:
(21, 6); (missing information for Option B)
On a test or homework, if you're required to fill something in for Option B, you may want to clarify with your teacher. However, from the information given and the graph range specified, we can't determine the next point in the pattern for Option B.
what is point a then?
The missing point for Option A, based on the pattern provided in the table, is (21, 6).
In the table given for Option A, we have:
x (megabytes) | y (seconds)
---------------------------
7 | 2
14 | 4
21 | 6
The ratio here is consistent—every 7 megabytes takes 2 seconds (7:2), so when the number of megabytes is doubled to 14, the number of seconds doubles to 4 (14:4). Following this pattern, the missing point for 21 megabytes (which is three times the initial amount) would be three times the initial seconds, giving us 6 seconds (21:6).
So for Option A on the coordinate plane, according to the table, the missing point is (21, 6). This point should be plotted on the graph to maintain the equivalent ratio of megabytes to seconds.
As for Option B, based on the given information and graph range specified in the problem, we can't determine a third point since we don't have enough data, and the pattern implies a point that's out of the specified range of the graph. The existing points (8,3) and (16,6) show a pattern, but we can't extend this within the provided graph's range because the next logical point (32,12) is outside of the graph's limits.
Question
Use the tables and image to answer the question.
Option A
x
(ounces) y
($)
9 4
18 8
27 12
Option B
x
(ounces) y
($)
11 6
22 12
A graph with the x-axis representing ounces ranging from 0 to 30 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 2 shows three plotted points, 2 for option A and 1 for option B. Option A has the following points: left parenthesis 9 comma 4 right parenthesis and left parenthesis 18 comma 8 right parenthesis. Option B has the following point: left parenthesis 11 comma 6 right parenthesis.
Based on the tables and coordinate plane, identify the missing equivalent ratios from the coordinate plane.
(1 point)
(
); (
)