91Ó°ÊÓ

It is given that Miguel has $100 and the cost of a CD player is $38 and the cost of 1 CD is $12.

Let $n$be the number of CDs that Miguel can buy.

As, the cost of 1 CD is $12, therefore the cost of CDs is $\$\left(12n\right)$.

The cost of 1 CD player and $n$CDs is $\$\left(12n+38\right)$.

As, Miguel has $100. Therefore, the maximum amount that Miguel can spend is $100.

Therefore, the cost of 1 CD player and CDs should be less than or equal to $100.

Therefore, the inequality for the given problem is:

$12n+38≤100$

The inequality for the given problem is:

$12n+38≤100$

Solve the inequality $12n+38≤100$.

$\begin{array}{c}12n+38≤100\\ 12n+38−38≤100−38\\ 12n≤62\\ n≤\frac{62}{12}\\ n≤5.1667\\ n≤5\end{array}$

Therefore, the inequality that represents the number of CDs that Miguel can buy is $n≤5$. Therefore, the option Dis correct.