Question

Hi I really need help on knowing how to solve this please help!

Answer 1

Step-by-step explanation:

We are given two situations first is for normal days and the other is for days when 65 or more people are going to this restaurant for the given party.

Let the number of people going to this restaurant be "n".

For a normal day, we are given

catering service = $20.50 per person.

service charge = $101.50

Let the total cost of the restaurant be T

The cost for this case will be T1 and it is represented for the following function:

for 1 ≤ n < 65

`T1(n)=20.50n+101.50\text{ }`

similarly for the case when 65 or more than that goes to this restaurant for the party.

cost after discount

Catering service = $17.25 per person

Service charge = $50.0

now the cost of this case will be T2 and it is represented for the following function:

for 65 ≤ n

`T2(n)=17.25n\text{ + 50}`

Therefore we can conclude that the correct answer is:

Answer:

`T(n)=\begin{cases}20.50n+101.50{\text{ if 1}\leq\text{ n }<65\text{ }} \\ 17.25n\text{ + 50 if n}\ge65\end{cases}`