Kevin has at most $30 to spend at the fair. The entrance fee is $5.50 and each activity is $1.25. Write the equation that represents the problem.

Given:

Entrance fee = $5.50

Additional fee =  $1.25 for each activity.

Total amount spend at fair = $30

To find:

The equation that represents the problem.

Solution:

Let the number of activities be .

Additional fee for 1 activity =

Additional fee for x activity =

Total fee = Entrance fee + Additional fee for x activity

               =

It is given that Kevin has at most $30 to spend at the fair. So, total fee must be equal to $30.

Therefore, the require equation is .

Note: The inequality for the given problem is .

The angle is 105 degrees. This angle along with the 75 degree angle make a straight line , 180-75 = 105 degrees