A computer technician charges a flat base fee plus an hourly rate for all repairs. Last year, she used the formula y = 18 x + 22 to determine the cost in dollars, y, of a repair that required x hours of work. If she doubles her base fee this year, what equation should she use to determine the new cost of an x-hour repair? y = 18 x + 44
y = 36 x + 22
y = 36 x + 44
2 y = 18 x + 22

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

step-by-step explanation:

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.