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 [tex]x[/tex].
Additional fee for 1 activity = [tex]\$1.25[/tex]
Additional fee for x activity = [tex]\$1.25x[/tex]
Total fee = Entrance fee + Additional fee for x activity
= [tex]\$5.50 + \$1.25x[/tex]
It is given that Kevin has at most $30 to spend at the fair. So, total fee must be equal to $30.
[tex]\$5.50 + \$1.25x=\$30[/tex]
[tex]5.50+1.25x=30[/tex]
Therefore, the require equation is [tex]5.50+1.25x=30[/tex].
Note: The inequality for the given problem is [tex]5.50+1.25x\leq 30[/tex].
