One moving company charges $800 plus $16 per hour.another moving company charges $720 plus $21 per hour. At what number of hours will the charge by both companies be the same?

Hello there!We are trying to find when both companies will charge the same rate for moving stuff.This means that we have to find the "point of intersection" between them.Lets make equations to make this easier.Company one:Charges $800$16 per hourThis makes y = 16x + 800Company two:Charges $720$21 per hourThis makes y = 21x + 720What we would do is put the equation together and solve.Solve:16x + 800 = 21x + 720-21x              -21x-5x + 800 = 720       - 800    -800-5x = -80x = 16In 16 hours, both companies prices will be the same.I hope this helps!Best regards,MasterInvestor