Question

Which table shows a proportional relationship between x and y?

Answer 1

Answer:

B

Step-by-step explanation:

A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

Table A

$\frac{12}{3} \neq \frac{15}{6} \neq \frac{18}{8} \neq \frac{20}{10}$

These fractions are not equal. This is not proportional.

Table B

$\frac{0.5}{1}=\frac{1}{2} =\frac{3.5}{7} =\frac{4}{8}$

These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.

Table C

$\frac{1}{3}\neq \frac{2.5}{7.5} \neq \frac{4}{15} \neq \frac{6}{20}$

These fractions are not equal. This is not proportional.

Table D

$\frac{7}{2} \neq \frac{9}{3}\neq \frac{11}{4} \neq \frac{13}{5}$

These fractions are not equal. This is not proportional.