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.
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 5, 10. Column 2 is labeled y with entries 5, 10, 25, 50.

StartFraction 5 over 1 EndFraction = StartFraction 10 over 2 EndFraction = StartFraction 25 over 5 EndFraction = StartFraction 10 over 50

Answer 1

Answer:

The conclusion derived by Mandy is incorrect.

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other. That constant is known as the "constant of proportionality".

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

i.e. Ratio$=\frac{y}{x}$

So, we have:

$Ratio=\frac{5}{1}=5$

$Ratio=\frac{10}{2}=5\\ Ratio =\frac{25}{5}=5\\ Ratio=\frac{50}{10} =5$

For the four input and output data, the ratios are equal. This means that the relationship is proportional.

Hence, Mandy's conclusion is incorrect.

Learn more about proportional relationships at:https://brainly.com/question/24312388

#SPJ10