Question

Acme Movers charges $105 plus $20 per hour to move household goods across town. Hanks movers charges $35 per hour. For what lengths of time does it cost less to hire Hanks movers?It costs less to hire Hanks Movers for times less than [__] hours

Answer 1

we have that the inequality that fits the situation is

$\begin{gathered} 35t<105+20t\rightarrow \\ 35t-20t<105 \\ 15t<105 \\ t<\frac{105}{15} \\ t<7 \end{gathered}$

so it costs lees to hire Hanks for times less than 7 hours