Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.

[ x ][ 1 ][ 2 ][ 5 ][ 10 ]
-------------------------------
[ y ][ 5 ][ 10 ][ 25 ][ 50 ]

5/1 = 10/2 = 25/5 = 10/50

No. The last ratio is not written with the values in the same position as the others. It should be 50 /10 to be consistent. If the ratio were written this way, then the ratios would all be equivalent. The relationship is proportional.

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MrRoyal MrRoyal · Answer 2 · 2021-09-03T20:14:37+02:00

Proportional relationships are relationships with equal ratio. Mandy's conclusion is incorrect because the relationship is proportional, and it has a uniform ratio of 5.

To determine if the input and output are proportional, we simply divide the output (y) by the corresponding input (x).

i.e.

[tex]Ratio = \frac yx[/tex]

So, we have:

[tex]Ratio = \frac 51 = 5[/tex]

[tex]Ratio = \frac{10}{2} = 5[/tex]

[tex]Ratio = \frac{25}{5} = 5[/tex]

[tex]Ratio = \frac{50}{10} = 5[/tex]

For the four input and output data, the ratios are equal (i.e. 5).

This means that the relationship is proportional.

Hence, Mandy's conclusion is incorrect

Read more about proportional relationships at:

https://brainly.com/question/24312388

Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain. [ x ][ 1 ][ 2 ][ 5 ][ 10 ] ------------------------------- [ y ][ 5 ][ 10 ][ 25 ][ 50 ] 5/1 = 10/2 = 25/5 = 10/50

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