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 = x ... so they charge the same at 2 1/2 hrs or 2.5 hrs <==

they both charge:

50x + 75 ... 50 (2.5) + 75 = 125 + 75 = 200 <==

60x + 50 ... 60 (2.5) + 50 = 150 + 50 = 200 <==