Answer:
T1(n) = 25n +119.50 where n belongs to .
T2(n) = 20n + 59 where n belongs to .
Step-by-step explanation:
We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.
Let the number of person going for this restaurant be "n"
For normal day, we are given
catering service = $25 per person
service charge = $119.50
Let the total cost of the restaurant be T
Cost for this case will be T1
T1(n) = 25n +119.50 where n belongs to
similarly for the case when 50 or more than that goes to this restaurant for party.
cost after discount
Catering service = $20.00 per person
service charge = $59.00
now the cost of this case will be T2
T2(n) = 20n + 59 where n belongs to .
Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.