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
[tex]\frac{12}{3} \neq \frac{15}{6} \neq \frac{18}{8} \neq \frac{20}{10}[/tex]
These fractions are not equal. This is not proportional.
Table B
[tex]\frac{0.5}{1}=\frac{1}{2} =\frac{3.5}{7} =\frac{4}{8}[/tex]
These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.
Table C
[tex]\frac{1}{3}\neq \frac{2.5}{7.5} \neq \frac{4}{15} \neq \frac{6}{20}[/tex]
These fractions are not equal. This is not proportional.
Table D
[tex]\frac{7}{2} \neq \frac{9}{3}\neq \frac{11}{4} \neq \frac{13}{5}[/tex]
These fractions are not equal. This is not proportional.
