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.

Answer 1

Answer with Explanation:

Provided that Mandy's Table is this.

[ x ][ 1 ][ 2 ][ 5 ][ 10 ]

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

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

"Proportional relationship" refers to an equal set of ratios in a statement or a table which shows "equivalent ratios."

As seen in Mandy's table, the last set if ratio is not equivalent to the other set of ratios because Mandy has incorrectly written the ratio. Instead of $\frac{50}{10}$, she wrote $\frac{10}{50}$. So, this makes it not equivalent to $\frac{5}{1}$.

The table is actually proportional, but Mandy made an error in writing the last ratio, that's why it looks not proportional.

So, this explains the answer.

Answer 2

Answer:

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.

Explanation:

Answer 3

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.