Part a: If she earns $960 but spends $680 daily, then this means she will have $280 by the end of each day. Numerically, this would look like [tex]280d = 52,000[/tex].
Part b: In order to start making a profit, she will need d days for it to exceed 52000. If she pays $280 per day, then we set up an inequality.
For her to start earning a profit, the following inequality must be true: [tex]280d > 52000[/tex]
If you isolate b and divide both sides by 280, then the variable d will be 185.7, but this does not exceed 52000, so in order for it to be true, she must have 186 days to start making a profit.
