Do the two tables show the same proportional relationship between x and​ y? Explain.

x
50
75
100
y
​1,250
​1,875
​2,500
x
3
4
5
y
4.2
5.6
7
Question content area bottom
Part 1

each table shows

proportional relationship. In the first​ table, every ratio StartFraction y Over x EndFraction
is equivalent to
  
enter your response here. In the second​ table, every ratio StartFraction y Over x EndFraction
is equivalent to
  
enter your response here.
​(Simplify your​ answers.)

1 answer

To determine whether the two tables show the same proportional relationship between x and y, we need to calculate the ratios yx for each value in both tables.

For the first table:

x=50,y=1,250yx=125050=25 x=75,y=1,875yx=187575=25 x=100,y=2,500yx=2500100=25 

In the first table, every ratio yx is equivalent to 25.

For the second table:

x=3,y=4.2yx=4.231.4 x=4,y=5.6yx=5.64=1.4 x=5,y=7yx=75=1.4 

In the second table, every ratio yx is equivalent to 1.4.

Conclusion:

The two tables do not show the same proportional relationship between x and y because the ratios are different. In the first table, every ratio yx is 25, while in the second table, every ratio yx is 1.4.

To summarize the answers:

  • In the first table, every ratio yx is equivalent to 25.
  • In the second table, every ratio yx is equivalent to 1.4.