To determine which of the given options could use both intercepts to produce viable solutions, we need to consider the nature of the variables involved in each pair.
-
(Age, Weight): Both age and weight can take on a range of non-negative values, and while we can plot them on a graph, age typically doesn't have a practical "upper intercept" for weight. This pair might not fit well.
-
(Years of experience, starting salary): Years of experience is likely to start at zero, and starting salary can also logically start at zero. As such, we can easily define both axes, and the intercepts would represent a clear and meaningful scenario (e.g., no experience correlating with no salary). This option fits well.
-
(Temperature, number of car rentals): Temperature can vary widely but doesn't necessarily have a clear lower bound related to car rentals. There could be a temperature below which car rentals are zero, but it's more complex and may not produce viable intercept combinations.
-
(Number of nominations, number of awards): The number of nominations can certainly start at zero, as can the number of awards. If there are zero nominations, there will be zero awards, making both intercepts meaningful in terms of relationship.
Given this analysis, the options that could use both intercepts in a meaningful way are:
- B. (Years of experience, starting salary)
- D. (Number of nominations, number of awards)
So, the most fitting answer would be B. However, D could also be considered viable for analysis. If you were to choose only one, go with B as it more directly corresponds to a clear economic model where both x and y intercepts serve useful purposes.
1 answer