Question

Write and solve an inequality for each of the word problems.You plan to publish an online newsletter that reports the results of mountain bike competitions. You do not want your monthly costs to exceed $2,370. Your fixed monthly costs are $1,200. You must also pay $130 per month to each article writer. How many writers can you afford to hire in a month?

Answer 1

The monthly cost is given by

`130x+1200`

Where "x" is the number of writers, 130 is the cost price per month per writer, and 1200 is the fixed cost. We don't want it to exceed 2370, therefore

`130x+1200\le2370`

The cost must be equal to or less than 2370, let's solve it for x

`\begin{gathered} 130x+1200\le2370 \\ \\ 130x\le2370-1200 \\ \\ 130x\le1170 \\ \\ x\le(1170)/(130) \\ \\ x\le9 \end{gathered}`

Therefore, we can only afford 9 writers or less in a month, if we hire 10 writers we will exceed 2370.