Situation 3: Charter-A-Bus charges $50 plus $0.40 a mile for renting a charter bus. Buses-4-U

charges $35 plus $0.55 a mile. For what number of miles is Buses-4-U the less

expensive company for renting a charter bus?

Inequality:

Key word:

w

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4