A Banquet Hall Hosts Parties $\$ 5250$ Caroline Had 160 Guests at Her Wedding and Paid

A banquet hall hosts parties. There is a charge to rent the hall, in addition to a per person charge for the meal. Neil had 110 guests at his graduation party and paid a total of $\$ 5250$ . Caroline had 160 guests at her wedding and paid a total of $\$ 7500$ .
A. Find a linear equation for the total charge $\mathrm{y}$ to host a party with $\mathrm{x}$ guests.
B. What is the charge to rent the hall?
C. What is the charge for each person's dinner?
D. What would the charge be to host a party with 185 guests?

A) a) $y=40 x+350$
b) $\$ 350$ ,
c) $\$ 40$ ,
d) $\$ 7750$

B) a) $y=55 x+400$
b) $\$ 400$ ,
c) $\$ 55$ ,
d) $\$ 10,575$

C) a) $y=40 x+550$
b) $\$ 550$ ,
c) $\$ 40$ ,
d) $\$ 7950$

D) a) $y=45 x+300$
b) $\$ 300$ ,
c) $\$ 45$ ,
d) $\$ 8625$