Question

092:15 PMEach month, henry weeds gardens for 15 hours and mows lawns for x hours.For each job, he is paid $9 per hour. He wants to earn at least $252 per month.Write an inequality to model this situation. Solve and interpret the solution.

Answer 1

We know that he weeds gardens for 15 hours, and mows lawns for x hours.

If he wants to earn $252 per month, we can express the following

`9\cdot15+9x\ge252`

Now, we solve for x

`\begin{gathered} 135+9x\ge252 \\ 9x\ge252-135 \\ 9x\ge117 \\ x\ge(117)/(9) \\ x\ge13 \end{gathered}`

Hence, he has to mow lawns for 13 hours to earn at least $252.