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golderhadashaowtatz
08.01.2020 •
Mathematics
Which table shows a proportional relationship between x and y?
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Ответ:
The proportional table in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or ![y=kx](/tpl/images/0447/3713/7f524.png)
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Verify each table
Find the value of the constant of proportionality k for each ordered pair of a table.
If all the values of k are the same, then the table represent a proportional relationship between x and y
Table 1
For x=1, y=2 ---->![k=\frac{2}{1}=2](/tpl/images/0447/3713/e388b.png)
For x=2, y=4 ---->![k=\frac{4}{2}=2](/tpl/images/0447/3713/03afe.png)
For x=3, y=8 ---->![k=\frac{8}{3}=2.7](/tpl/images/0447/3713/4e700.png)
The values of k are not equal
so
This table not represent a proportional relationship between x and y
Table 2
For x=0, y=4
The line not passes through the origin
so
This table not represent a proportional relationship between x and y
Table 3
For x=0, y=0 ----> is OK the line passes though the origin
For x=1, y=1 ---->![k=\frac{1}{1}=1](/tpl/images/0447/3713/2aec1.png)
For x=2, y=4 ---->![k=\frac{4}{2}=2](/tpl/images/0447/3713/03afe.png)
The values of k are not equal
so
This table not represent a proportional relationship between x and y
Table 4
For x=1, y=4 ---->![k=\frac{4}{1}=4](/tpl/images/0447/3713/1900f.png)
For x=2, y=8 ---->![k=\frac{8}{2}=4](/tpl/images/0447/3713/a07cb.png)
For x=3, y=12 ---->![k=\frac{12}{3}=4](/tpl/images/0447/3713/c92e0.png)
The values of k are the same
so
This table represent a proportional relationship between x and y
Ответ:
B. I hope I'm right
Step-by-step explanation: