Question

Mrs. Johnson is paid $1500 per week but is fined $80 each day she's late for work. Mrs. Johnson want to make atleast $5500 over the next four weeks so that she can take a trip to Thailand.Over the next four weeks, what is the maximum number of days she can be late to work and still reach her goalof making at least $5500?

Answer 1

Let the number of late days be x.

In one week she makes 1500 dollars so in 4 weeks she will make 1500x4=6000 dollars

80 dollars are deducted for each late day.

She wants to make atleast 5500 dollars so the inequality is given by:

`\begin{gathered} 6000-80x\ge5500 \\ 6000-5500\ge80x \\ 80x\leq500 \\ x\leq(500)/(80) \\ x\leq6.25 \end{gathered}`

So the maximum number of late days is 6.

She can come late for 6 or fewer days to make atleast 5500 dollars.