Final answer:
The rule in function notation to represent the situation is f(r) = 9 + 1.75r.
Step-by-step explanation:
In this situation, the admission fee at the carnival is $9 and each ride costs $1.75. Let's define the number of rides as 'r'. To write a rule in function notation, we can use 'f(r)' to represent the total cost of admission and rides.
The admission fee of $9 is a fixed cost, so it will be the same regardless of the number of rides. The cost of 'r' rides will be $1.75 multiplied by 'r'. Therefore, the rule in function notation would be:
f(r) = 9 + 1.75r