A hotel chain charges $75 each night for the first two nights and $50 for each additional night's stay. the total cost t is a function of the number of nights x that a guest stays.

you would need a function to determine whether to use a formula for 1 or 2 nights or a formula for more than 2 nights

T (x) = {a if x 2}

if it's 2 nights or less use option a, a = 75x

if its longer than 2 days use option b, b = 50x + 50