Question

mechanic A: $20 per hour of workmechanic B: $15 per hour, plus a $50 flat fee A. write and solve an inequality to determine how many hours 'n' it will take before mechanic B is less of a cost than mechanic A

Answer 1

We have the following:

mechanic A:

$A=20\cdot n$

mechanic B:

$B=15\cdot n+50$

now,

$A>B$

replacing:

$\begin{gathered} 20\cdot n>15\cdot n+50 \\ 20n-15n>50 \\ 5n>50 \\ n>\frac{50}{5} \\ n>10 \end{gathered}$

therefore, after 10 hours the valuse for B is less