Question

Are the ratios that you calculated in part B equivalent? Based on these ratios, what can you conclude about the relationship between the number of pairs of jeans that Tim buys at the local store and the cost?

A. Yes, the ratios are equivalent, indicating a direct proportionality.
B. No, the ratios are not equivalent, suggesting an inverse relationship.
C. The ratios are equivalent, suggesting no relationship between the variables.
D. The ratios are inconclusive, and no conclusions can be drawn about the relationship.

Answer 1

If the ratios calculated are equivalent, then there is a direct proportional relationship between the number of pairs of jeans Tim buys and the cost, suggesting that as one increases, so does the other in a consistent manner.

Step-by-step explanation:

In mathematics, when discussing the relationship between two variables, we often refer to concepts like direct proportionality and inverse proportionality. If the ratios calculated are equivalent, this suggests that there is a direct proportional relationship between the two variables. That is, as the number of pairs of jeans Tim buys increases, so does the cost, in a consistent manner. This scenario is option A, indicating that there is a direct proportion between the number of jeans and the cost. On the other hand, if the ratios are not equivalent, it generally suggests there is no direct proportionality, and thus, the other options would come into consideration. But without the specific ratios mentioned in this question, we can only assume that if the ratios are indeed equivalent, they suggest a direct relationship.