Subjects algebra

Inverse Pair Ba46C4

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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: $(52, 20)$