SOLUTION: A banquet hall charges a rental fee plus an additional charge for each guest. The total cost is $550 for 20 guests and $775 for 35 guests.
Find an equation to model the total cos
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Question 1187922: A banquet hall charges a rental fee plus an additional charge for each guest. The total cost is $550 for 20 guests and $775 for 35 guests.
Find an equation to model the total cost, C, in terms of the number of guests, N.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Informally....
The additional 35-20=15 guests cost an additional $775-$550=$225, so the cost per guest is $225/15 = $15.
Since the cost for 20 guests is $550, the rental fee is $550-20($15)=$550-$300=$250.
So the rental cost is a fee of $250 plus $15 per guest.
Using formal algebra -- note that the calculations performed are exactly the same....
(x(1),y(1))=(20,550)
(x(2),y(2))=(35,775)
The slope m (increase in cost (y) per guest (x)) is
The equation is of the form ; and we know the slope m is 15. Plug in (x,y) = (20,550) to find b.
ANSWER: The equation for the total cost C for N guests is
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