461,104 views
2 votes
2 votes
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

User Mavix
by
3.0k points

1 Answer

25 votes
25 votes

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>(50)/(5) \\ n>10 \end{gathered}

therefore, after 10 hours the valuse for B is less

User Edoz
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.