A motel bills its customers by charging a flat fee for the first night and then adding on a fixed amount for every night thereafter. If it costs George $155 to stay in the motel for 3 nights and Noah $290 to stay in the motel for 6 nights, how much is the flat fee for the first night? A motel bills its customers by charging a flat fee for the first night and then adding on a fixed amount for every night thereafter. If it costs George $155 to stay in the motel for 3 nights and Noah $290 to stay in the motel for 6 nights, how much is the flat fee for the first night? @Mathematics

Question

A motel bills its customers by charging a flat fee for the first night and then adding on a fixed amount for every night thereafter. If it costs George  $155 to stay in the motel for 3 nights and Noah  $290 to stay in the motel for 6 nights, how much is the flat fee for the first night? A motel bills its customers by charging a flat fee for the first night and then adding on a fixed amount for every night thereafter. If it costs George  $155 to stay in the motel for 3 nights and Noah  $290 to stay in the motel for 6 nights, how much is the flat fee for the first night? @Mathematics

anonymous · Answer

x+2y=155
x+5y=290 solve system of equations and x will be your one night payment

anonymous · Answer

It's a linear function
y = mx + b

anonymous · Answer

above are linear equations?!

anonymous · Answer

you have two fixed amounts so you don't have to worry about exponential growths or anything

anonymous · Answer

yeah 
so 3y =135
y = 45
x = 65

anonymous · Answer

so the flat fee is 65

anonymous · Answer

x is the flat fee and y is the rate or slope

anonymous · Answer

if you want to think of it that way i guess lol