Final answer:
To determine the number of people who can go to the amusement park, set up the inequality equation 9 + 20p ≤ 145. Solve for p to find that the maximum number of people is 6.
Step-by-step explanation:
To determine the number of people who can go to the amusement park, we need to set up an inequality equation.
Let p represent the number of people who can go to the amusement park.
The cost of parking is $9, and the cost of tickets per person is $20, including tax.
So, the total cost for p people will be 9 + 20p.
The total cost should not exceed the available budget of $145. So, we can write the inequality equation as:
9 + 20p ≤ 145
To solve for p, we subtract 9 from both sides of the equation:
20p ≤ 145 - 9
Simplifying, we have:
20p ≤ 136
Now, divide both sides of the equation by 20:
p ≤ 6.8
Since the number of people must be a whole number, the maximum number of people that can go to the amusement park is 6.