Answer:
Inequality: 10 + 15x ≤ 85
Maximum number of people = 5.
Step-by-step explanation:
Let x be the number of people that can go to the amusement park.
If the cost of going to an amusement park is $10 for parking and $15 per person, and the group has maximum of $85 to spend:
⇒ 10 + 15x ≤ 85
Solve the inequality by subtracting 10 from both sides:
⇒ 10 + 15x - 10 ≤ 85 - 10
⇒ 15x ≤ 75
Divide both sides by 15:
⇒ 15x ÷ 15 ≤ 75 ÷ 15
⇒ x ≤ 5
Therefore, the maximum number of people that can go to the park is 5.
