Final answer:
The equation x * 24 + 17.50 = 113.50 can be used to represent the context.
Step-by-step explanation:
The algebraic equation that represents the given context is:
x * 24 + 17.50 = 113.50
Where 'x' represents the number of people who can go to the amusement park. To solve for 'x', we need to isolate it on one side of the equation.
- Subtract 17.50 from both sides of the equation: x * 24 = 96
- Divide both sides of the equation by 24: x = 4
Therefore, the number of people who can go to the amusement park is 4.