Which of the following tables represents a proportional relationship between x and y with a ratio of 3 : 4 ?
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To determine which table represents a proportional relationship between x and y with a ratio of 3:4, we need to examine the values in each table and check if the ratio between x and y is always 3:4.
Let's take a look at the tables:
Table A:
x | y
---------------
1 | 4
2 | 8
3 | 12
4 | 16
Table B:
x | y
---------------
3 | 2
6 | 4
9 | 6
12 | 8
Table C:
x | y
---------------
2 | 3
4 | 6
6 | 9
8 | 12
Table D:
x | y
---------------
1 | 3
2 | 6
3 | 9
4 | 12
To determine whether the ratio between x and y is 3:4, we need to divide each y-value by its corresponding x-value.
In Table A, when we divide each y-value by its corresponding x-value, we get:
4/1 = 4
8/2 = 4
12/3 = 4
16/4 = 4
The ratio of y-values to x-values in Table A is always 4:1, so it does not represent a proportional relationship with a ratio of 3:4.
In Table B, when we divide each y-value by its corresponding x-value, we get:
2/3 = 0.666...
4/6 = 0.666...
6/9 = 0.666...
8/12 = 0.666...
The ratio of y-values to x-values in Table B is always approximately 0.666..., which is not equivalent to 3:4. Therefore, Table B does not represent a proportional relationship with a ratio of 3:4.
In Table C, when we divide each y-value by its corresponding x-value, we get:
3/2 = 1.5
6/4 = 1.5
9/6 = 1.5
12/8 = 1.5
The ratio of y-values to x-values in Table C is always 1.5, which is not equivalent to 3:4. Thus, Table C does not represent a proportional relationship with a ratio of 3:4.
In Table D, when we divide each y-value by its corresponding x-value, we get:
3/1 = 3
6/2 = 3
9/3 = 3
12/4 = 3
The ratio of y-values to x-values in Table D is always 3:1. This means that for every 3 units of y, there is 1 unit of x, which is equivalent to the ratio 3:4. Therefore, Table D represents a proportional relationship between x and y with a ratio of 3:4.
So, the correct table that represents a proportional relationship between x and y with a ratio of 3:4 is Table D.
the answer is c because the pattern is x4 so and i did it on usa test prep so 100 for connexus students
its c
no idea, but it will have
0 0
3 4