If you let $x$ be the number of additional miles he can drive, how can you write an expression for his total miles, and how should that relate (using $\le$ or $\ge$) to 450?

Should you add 275 and $x$, or subtract 275 from 450, to represent the situation? Think about how to make sure the total stays at or below 450 miles.

Once you have the inequality, isolate $x$ by doing the same operation on both sides, then evaluate the simple arithmetic expression you get.

In the Desmos expression line, type 450-275 and look at the numerical result. That value is the maximum number of additional miles Jamal can still drive without exceeding the 450-mile limit.

"At most 450 free miles" means Jamal's total free miles cannot be more than 450. He has already driven 275 of those miles, and we want to know how many additional miles he can still drive for free.

Let $x$ be the number of additional miles Jamal can drive.

His total miles will be the miles already driven plus the additional miles:

Because he cannot exceed 450 free miles, we write the inequality:

To solve $275 + x \le 450$, subtract 275 from both sides:

So $x$ must be less than or equal to the difference $450 - 275$. This difference tells you the maximum number of additional miles Jamal can drive.

Now compute the difference:

So Jamal can drive at most $175$ additional miles without exceeding the limit. This corresponds to answer choice C (175).