To determine which table shows a proportional relationship and identify the constant of proportionality, I would need the actual tables referred to in the question (Cost of Movies, Photo Album, Minutes Read). However, based on what you provided, I can guide you on how to identify a proportional relationship:
-
Proportional Relationships: A relationship is proportional if the ratio of the quantities is constant. This means that for every increase in one quantity, there is a consistent increase in the other quantity.
-
Finding the Constant of Proportionality: Once you identify the table with a proportional relationship, you can determine the constant of proportionality (k) by taking the ratio of the two quantities (y/x) in the table, where y is the dependent variable (output) and x is the independent variable (input).
For the questions provided:
(a) If you find that one of the tables shows a constant ratio (for example, if every increase in x results in a predictable increase in y), you would fill in the blank with that table's name (A, B, or C).
(b) Once you identify the proportional table, you can use it to find the constant of proportionality, k, which you would fill in from the options provided (A, B, C, or D).
If you provide the details of the tables, I can help you make the determinations!
13 answers