Question

Use a graphing calculator to find the solution to the situation. Lucy needs to hire a host. Host A is offering his services for an initial $70 in addition to $15.75 per hour. Hostess B is offering her services for an initial $81 in addition to $13.25 per hour. When will the two hosts charge the same amount of money? If necessary, round your answer to the nearest tenth. At approximately ___ hours, both hosts will charge about the same amount.

Answer 1

At approximately 4.5 hours.
15.75x + 70 = 13.25x + 81
15.75x - 13.25x = 81 - 70
2.5x = 11
x = 4.4 
found to the nearest tenth 4.5