1. The problem asks which number line shows points at every location representing a number with an absolute value of 4.5. 2. Recall the definition of absolute value: for any number $x$, $|x| = 4.5$ means $x = 4.5$ or $x = -4.5$. 3. Since 4.5 is not an integer, the points must be exactly at $4.5$ and $-4.5$ on the number line. 4. Looking at the options: - Line A has points at $-4$ and $4$ (absolute value 4). - Line B has points at $-5$ and $5$ (absolute value 5). - Line C has points at $-4$ and $5$. - Line D has points at $-4$ and $4$. 5. None of the lines show points exactly at $4.5$ or $-4.5$. 6. Therefore, none of the given number lines correctly represent points with absolute value 4.5. Final answer: None of the options A, B, C, or D show points at $\pm 4.5$. Note: The handwritten math and dollar amounts are unrelated to the absolute value question and do not affect the answer.