Question

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 ]
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[ y ][ 5 ][ 10 ][ 25 ][ 50 ]

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

Answer 1

I'm not sure what that last string of equalities is, but I think it is Mandy's work. Notice the ratio pattern that she begins with for the first three numbers, it's the output (y) value divided by the input (x) value. Then on the last ratio, she switches the two and divides the input (x) value by the output (y) value. Because of this, she thinks that the last term has a ratio of 1/5, while the others have a ratio of 5. She is incorrect because her common ratio is output divided by input, which is actually 5 for the last term (50/10).

Answer 2

Answer:

Step-by-step explanation:

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.