Write a rule in function notation for the situation below:Meg earns a $5 flat fee plus 4.50 per student for a tutoring session.
f(n) = 5 + 4.50 n
where n is number of students
and f(n) is revenue in dollars
To write a rule in function notation for Meg's earnings during a tutoring session, we can define a function, let's call it E(x), where x represents the number of students Meg tutors during the session.
Function notation typically follows the format: f(x) = [expression]
In this case, the expression for Meg's earnings would be $5 flat fee plus $4.50 multiplied by the number of students she tutors. Therefore, the rule in function notation would be:
E(x) = 5 + 4.50x
Where:
- E(x) represents Meg's earnings during a tutoring session,
- 5 represents her flat fee, and
- 4.50x represents the amount she earns per student (where x is the number of students).
For example, if Meg tutors 3 students during a session, her earnings would be:
E(3) = 5 + 4.50(3)
= 5 + 13.50
= $18.50