1) a decorator charges a $75 consultation fee, plus $50 per hour. another decorator chargers a $50 consultation fee, plus $60 per hour. when do the decorators charge the same amount? how much is it? 1st decorator: y = __x + __ 2nd decorator: y = __x + 50

1st decorator : y = 50x + 75
2nd decorator : y = 60x + 50

when do they charge the same ?
50x + 75 = 60x + 50
75 - 50 = 60x - 50x
25 = 10x
25/10 = x
2 1/2 = xso they charge the same at 2 1/2 hrs or 2.5 hrs <==

they both charge :
50x + 7550(2.5) + 75 = 125 + 75 = 200 <==
60x + 5060(2.5) + 50 = 150 + 50 = 200 <==

If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8