Question

at the state fair, admission at the gate is $11. in addition, the cost of each ride is $2. suppose that lamar will go on x rides. lamar want the total number of dollars he spends on admission and rides to be at most t. using the values and values given, write an inequality describing this.

Answer 1

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;

`t=11+2x`

Note that;

`t=\text{total amount spent}`

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;

`t\le11+2x`

Amount t is the highest he can spend. So its either t, or anything less than that.

ANSWER:

`t\le11+2x`