After how many hours will the two companies charge the same amount? How much will each company charge?

Question

Micki Minaj's handyman service charges a base charge of $5 and then $25 per hour.

Katy Perry's handyman service charges $9 per hour and a base charge of $5.

y=25x+5

y=9x+5

Answer 1

25x + 5 = 9x +5

9x + 5= 0

16x = 0

x = 0

at zero hours, they charge the same $5 (although if you never go near either one of them, you get away with a total cost of $0)

otherwise Micki always charges more than Katy

stick with Katy for lower cost at any positive number of hours