From the information provided, Lamar will pay $11 as admission fee at the state fair. An addition to that he would pay $2 per ride. Given that each ride is represented by letter x, then if Lamar wants to take x number of rides, he would have to pay 2 times x.
Therefore, depending on how many rides he will take, Lamar will pay 2 times x plus the addmision fee of $11.
Hence, he would be spending a total of;
[tex]t=11+2x[/tex]Note that;
[tex]t=\text{total amount spent}[/tex]However, note that Lamar wants to spend at most t amount in total. This means he can spend t amount or possibly less than that, but nothing more than t.
The inequality to represent this would be;
[tex]t\le11+2x[/tex]Amount t is the highest he can spend. So its either t, or anything less than that.
ANSWER:
[tex]t\le11+2x[/tex]