Final answer:
The constant of proportionality for the relationship shown in the table is 0.5.
Step-by-step explanation:
The constant of proportionality represents the relationship between two variables that are directly proportional. It is denoted by the letter k. In order to find the constant of proportionality, we need to choose a set of values from the table that represents a direct proportion. Looking at the options given, the only pair that seems to have a direct proportion is option B) 13, 6.5.
To find the constant of proportionality, we can use the formula k = y / x.
In this case, we have k = 6.5 / 13 = 0.5. Therefore, the constant of proportionality for the given table is 0.5.