1. The problem asks which ordered pair can be expected when verifying the inverse of the cost function $a(x)$ given by the table:
| $x$ | 20 | 25 | 30 |
| --- | --- | --- | --- |
| $a(x)$ | 52 | 67.5 | 84 |
2. The function $a(x)$ maps the number of earbuds produced $x$ to the average cost $a(x)$.
3. The inverse function $a^{-1}(y)$ reverses this mapping, taking a cost value $y$ and returning the number of earbuds $x$.
4. Therefore, if the original function has the ordered pair $(x, a(x))$, the inverse function will have the ordered pair $(a(x), x)$.
5. From the table, one example is $(20, 52)$ in the original function.
6. The inverse function will have the pair $(52, 20)$.
7. Hence, the ordered pair expected when verifying the inverse is $(52, 20)$.
Final answer: $(52, 20)$
Inverse Pair Ba46C4
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.