Final answer:
The cost of admission (C) at the amusement park for P people is represented by the equation C = 40P. To find the total cost for 17 people, we calculate C = 40 × 17, which equals $680.
Step-by-step explanation:
The relationship between the cost of admission (C) for a certain number of people (P) at an amusement park and the number of people can be expressed as a simple linear equation. With an admission fee of $40 per person, the equation takes the form of C = 40P. To find the total cost for 17 people, you substitute P with 17 in the equation, resulting in C = 40 × 17.
Upon calculating, we find that C equals $680. Therefore, the cost of admission for 17 people is $680.