Jamie will choose between two catering companies for an upcoming party. Company A charges a set-up fee of $500 plus $25 for each guest. Company B charges a set-up fee of $200 plus $30 per guest.

Question

a. Write expressions that you can use to determine the amount each company charges for g guest.
b. Jamie learns that the $500 set-up fee for Company A includes payment for 20 guests. The $25 guest charge is for every guest over the first 20. If there will be 50 guests which company will cost the least?

Answer 1

solve for g
500+25g = 200+30g

for the rest, ....
"guest charge is for every guest over the first 20" ----> (g-20)
make use of that hint