The option that could use both intercepts to produce viable solutions is:
(number of nominations, number of awards)
In this case, both number of nominations and number of awards can reasonably relate to the intercepts. If you consider a graph where the x-axis represents the number of nominations and the y-axis represents the number of awards, you could have intercepts representing instances where there are nominations but no awards won (x-intercept) and cases where no nominations resulted in awards (y-intercept).
The other options, (temperature, number of car rentals) and (age, weight), don't naturally lend themselves to interpretations involving intercepts in a meaningful way as described above.