Do the values in the table represent a proportional relationship?

Question

x 1 2 3 4
y 2.5 5 7.5 10

Select from the drop-down menu to correctly complete the statement.

All of the y-values
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a constant multiple of the corresponding x-values, so the relationship
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.

Answer 1

To determine if the values in the table represent a proportional relationship, we need to check if all the y-values are a constant multiple of the corresponding x-values.

Given the values:

• When \( x = 1 \), \( y = 2.5 \) (which is \( 2.5 \times 1 \))
• When \( x = 2 \), \( y = 5 \) (which is \( 2.5 \times 2 \))
• When \( x = 3 \), \( y = 7.5 \) (which is \( 2.5 \times 3 \))
• When \( x = 4 \), \( y = 10 \) (which is \( 2.5 \times 4 \))

All of the y-values are \( 2.5 \) times the corresponding x-values.

So, we can complete the statement as follows:

All of the y-values are a constant multiple of the corresponding x-values, so the relationship is proportional.