At the state fair, admission at the gate is $8. in addition, the cost of each ride is $4. suppose that sam will go on x rides. sam wants the total number of dollars he spends on admission and rides to be fewer than t. using the values and variables given, write an inequality describing this situation.

Step-by-step explanation:

Given : At the state fair, admission at the gate is $8. In addition, the cost of each ride is $4.

Suppose that Sam will go on x rides.

Then, cost of x rides ( in dollars) =  Cost per ride x Number of rides

=4x

Total cost ( in dollars)  :  Admission fee + cost of x rides

= 8+4x

Sam wants the total number of dollars he spends on admission and rides to be fewer than (less than) t.

i.e.  

Hence, the required inequality :

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus